%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN487+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n014.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 13:53:29 EDT 2022 % Result : Theorem 0.88s 1.06s % Output : Proof 1.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN487+1 : TPTP v8.1.0. Released v2.1.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n014.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jul 12 00:50:19 EDT 2022 % 0.12/0.33 % CPUTime : % 0.88/1.06 (* PROOF-FOUND *) % 0.88/1.06 % SZS status Theorem % 0.88/1.06 (* BEGIN-PROOF *) % 0.88/1.06 % SZS output start Proof % 0.88/1.06 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a2276))/\((c3_1 (a2276))/\(~(c0_1 (a2276)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a2277))/\((c1_1 (a2277))/\(~(c2_1 (a2277)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a2279))/\((~(c2_1 (a2279)))/\(~(c3_1 (a2279)))))))/\(((~(hskp3))\/((ndr1_0)/\((c1_1 (a2280))/\((c3_1 (a2280))/\(~(c2_1 (a2280)))))))/\(((~(hskp4))\/((ndr1_0)/\((c2_1 (a2282))/\((~(c0_1 (a2282)))/\(~(c3_1 (a2282)))))))/\(((~(hskp5))\/((ndr1_0)/\((~(c0_1 (a2284)))/\((~(c1_1 (a2284)))/\(~(c3_1 (a2284)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a2285))/\((c1_1 (a2285))/\(~(c3_1 (a2285)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a2286))/\((~(c0_1 (a2286)))/\(~(c2_1 (a2286)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287)))))))/\(((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))))/\(((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))))/\(((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))))/\(((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))))/\(((~(hskp18))\/((ndr1_0)/\((c3_1 (a2308))/\((~(c1_1 (a2308)))/\(~(c2_1 (a2308)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))))/\(((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))))/\(((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324)))))))/\(((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325)))))))/\(((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))))/\(((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))))/\(((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367)))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309))))))/\(((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))))/\(((~(hskp31))\/((ndr1_0)/\((c0_1 (a2387))/\((c2_1 (a2387))/\(c3_1 (a2387))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp4)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp5)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp11)\/(hskp12)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp18)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp0)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp29)\/(hskp8)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20))/\(((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))))/\(((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22)))/\(((forall X52 : zenon_U, ((ndr1_0)->((c1_1 X52)\/((c2_1 X52)\/(~(c0_1 X52))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp0)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp12))/\(((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23)))/\(((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0)))/\(((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12)))/\(((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))))/\(((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp1)\/(hskp4)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19)))/\(((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19)))/\(((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp2)\/(hskp18)))/\(((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp13)\/(hskp18)))/\(((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp8)\/(hskp5)))/\(((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23)))/\(((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9)))/\(((hskp29)\/((hskp27)\/(hskp3)))/\(((hskp28)\/((hskp0)\/(hskp13)))/\(((hskp28)\/((hskp26)\/(hskp16)))/\(((hskp1)\/((hskp14)\/(hskp20)))/\(((hskp6)\/((hskp11)\/(hskp30)))/\(((hskp6)\/((hskp12)\/(hskp0)))/\(((hskp31)\/((hskp7)\/(hskp14)))/\(((hskp31)\/((hskp22)\/(hskp18)))/\(((hskp8)\/((hskp10)\/(hskp19)))/\(((hskp24)\/((hskp22)\/(hskp13)))/\((hskp3)\/((hskp14)\/(hskp22)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.88/1.06 Proof. % 0.88/1.06 assert (zenon_L1_ : (~(hskp24)) -> (hskp24) -> False). % 0.88/1.06 do 0 intro. intros zenon_H1 zenon_H2. % 0.88/1.06 exact (zenon_H1 zenon_H2). % 0.88/1.06 (* end of lemma zenon_L1_ *) % 0.88/1.06 assert (zenon_L2_ : (~(hskp22)) -> (hskp22) -> False). % 0.88/1.06 do 0 intro. intros zenon_H3 zenon_H4. % 0.88/1.06 exact (zenon_H3 zenon_H4). % 0.88/1.06 (* end of lemma zenon_L2_ *) % 0.88/1.06 assert (zenon_L3_ : (~(hskp13)) -> (hskp13) -> False). % 0.88/1.06 do 0 intro. intros zenon_H5 zenon_H6. % 0.88/1.06 exact (zenon_H5 zenon_H6). % 0.88/1.06 (* end of lemma zenon_L3_ *) % 0.88/1.06 assert (zenon_L4_ : ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp24)) -> (~(hskp22)) -> (~(hskp13)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.88/1.06 exact (zenon_H1 zenon_H2). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.88/1.06 exact (zenon_H3 zenon_H4). % 0.88/1.06 exact (zenon_H5 zenon_H6). % 0.88/1.06 (* end of lemma zenon_L4_ *) % 0.88/1.06 assert (zenon_L5_ : (~(hskp6)) -> (hskp6) -> False). % 0.88/1.06 do 0 intro. intros zenon_H9 zenon_Ha. % 0.88/1.06 exact (zenon_H9 zenon_Ha). % 0.88/1.06 (* end of lemma zenon_L5_ *) % 0.88/1.06 assert (zenon_L6_ : (~(hskp11)) -> (hskp11) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hb zenon_Hc. % 0.88/1.06 exact (zenon_Hb zenon_Hc). % 0.88/1.06 (* end of lemma zenon_L6_ *) % 0.88/1.06 assert (zenon_L7_ : (~(hskp30)) -> (hskp30) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hd zenon_He. % 0.88/1.06 exact (zenon_Hd zenon_He). % 0.88/1.06 (* end of lemma zenon_L7_ *) % 0.88/1.06 assert (zenon_L8_ : ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp6)) -> (~(hskp11)) -> (~(hskp30)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 0.88/1.06 exact (zenon_H9 zenon_Ha). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.88/1.06 exact (zenon_Hb zenon_Hc). % 0.88/1.06 exact (zenon_Hd zenon_He). % 0.88/1.06 (* end of lemma zenon_L8_ *) % 0.88/1.06 assert (zenon_L9_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.88/1.06 do 0 intro. intros zenon_H11 zenon_H12. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 (* end of lemma zenon_L9_ *) % 0.88/1.06 assert (zenon_L10_ : (forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89)))))) -> (ndr1_0) -> (c1_1 (a2315)) -> (c2_1 (a2315)) -> (c3_1 (a2315)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H13 zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 0.88/1.06 generalize (zenon_H13 (a2315)). zenon_intro zenon_H17. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H11 | zenon_intro zenon_H18 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.88/1.06 exact (zenon_H1a zenon_H14). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.88/1.06 exact (zenon_H1c zenon_H15). % 0.88/1.06 exact (zenon_H1b zenon_H16). % 0.88/1.06 (* end of lemma zenon_L10_ *) % 0.88/1.06 assert (zenon_L11_ : (~(hskp25)) -> (hskp25) -> False). % 0.88/1.06 do 0 intro. intros zenon_H1d zenon_H1e. % 0.88/1.06 exact (zenon_H1d zenon_H1e). % 0.88/1.06 (* end of lemma zenon_L11_ *) % 0.88/1.06 assert (zenon_L12_ : (~(hskp23)) -> (hskp23) -> False). % 0.88/1.06 do 0 intro. intros zenon_H1f zenon_H20. % 0.88/1.06 exact (zenon_H1f zenon_H20). % 0.88/1.06 (* end of lemma zenon_L12_ *) % 0.88/1.06 assert (zenon_L13_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp25)) -> (~(hskp23)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H21 zenon_H22 zenon_H1d zenon_H1f. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H13 | zenon_intro zenon_H25 ]. % 0.88/1.06 apply (zenon_L10_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H1e | zenon_intro zenon_H20 ]. % 0.88/1.06 exact (zenon_H1d zenon_H1e). % 0.88/1.06 exact (zenon_H1f zenon_H20). % 0.88/1.06 (* end of lemma zenon_L13_ *) % 0.88/1.06 assert (zenon_L14_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp23)) -> (~(hskp25)) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_H9 zenon_Hb zenon_Hf. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.88/1.06 apply (zenon_L8_); trivial. % 0.88/1.06 apply (zenon_L13_); trivial. % 0.88/1.06 (* end of lemma zenon_L14_ *) % 0.88/1.06 assert (zenon_L15_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a2342))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H27 zenon_H12 zenon_H28 zenon_H29 zenon_H2a. % 0.88/1.06 generalize (zenon_H27 (a2342)). zenon_intro zenon_H2b. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.88/1.06 exact (zenon_H28 zenon_H2e). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.88/1.06 exact (zenon_H30 zenon_H29). % 0.88/1.06 exact (zenon_H2f zenon_H2a). % 0.88/1.06 (* end of lemma zenon_L15_ *) % 0.88/1.06 assert (zenon_L16_ : (~(hskp12)) -> (hskp12) -> False). % 0.88/1.06 do 0 intro. intros zenon_H31 zenon_H32. % 0.88/1.06 exact (zenon_H31 zenon_H32). % 0.88/1.06 (* end of lemma zenon_L16_ *) % 0.88/1.06 assert (zenon_L17_ : (~(hskp19)) -> (hskp19) -> False). % 0.88/1.06 do 0 intro. intros zenon_H33 zenon_H34. % 0.88/1.06 exact (zenon_H33 zenon_H34). % 0.88/1.06 (* end of lemma zenon_L17_ *) % 0.88/1.06 assert (zenon_L18_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (~(hskp19)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H35 zenon_H36 zenon_H31 zenon_H33. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H27 | zenon_intro zenon_H39 ]. % 0.88/1.06 apply (zenon_L15_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 0.88/1.06 exact (zenon_H31 zenon_H32). % 0.88/1.06 exact (zenon_H33 zenon_H34). % 0.88/1.06 (* end of lemma zenon_L18_ *) % 0.88/1.06 assert (zenon_L19_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H3a zenon_H36 zenon_H33 zenon_H31 zenon_Hf zenon_Hb zenon_H9 zenon_H1f zenon_H22 zenon_H26. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.88/1.06 apply (zenon_L14_); trivial. % 0.88/1.06 apply (zenon_L18_); trivial. % 0.88/1.06 (* end of lemma zenon_L19_ *) % 0.88/1.06 assert (zenon_L20_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (c3_1 (a2327)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H3b zenon_H12 zenon_H3c zenon_H3d zenon_H3e. % 0.88/1.06 generalize (zenon_H3b (a2327)). zenon_intro zenon_H3f. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H11 | zenon_intro zenon_H40 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.88/1.06 exact (zenon_H3c zenon_H42). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ]. % 0.88/1.06 exact (zenon_H3d zenon_H44). % 0.88/1.06 exact (zenon_H43 zenon_H3e). % 0.88/1.06 (* end of lemma zenon_L20_ *) % 0.88/1.06 assert (zenon_L21_ : (~(hskp4)) -> (hskp4) -> False). % 0.88/1.06 do 0 intro. intros zenon_H45 zenon_H46. % 0.88/1.06 exact (zenon_H45 zenon_H46). % 0.88/1.06 (* end of lemma zenon_L21_ *) % 0.88/1.06 assert (zenon_L22_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp13)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H47 zenon_H3e zenon_H3d zenon_H3c zenon_H12 zenon_H45 zenon_H5. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H3b | zenon_intro zenon_H48 ]. % 0.88/1.06 apply (zenon_L20_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H46 | zenon_intro zenon_H6 ]. % 0.88/1.06 exact (zenon_H45 zenon_H46). % 0.88/1.06 exact (zenon_H5 zenon_H6). % 0.88/1.06 (* end of lemma zenon_L22_ *) % 0.88/1.06 assert (zenon_L23_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> (~(hskp13)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H49 zenon_H47 zenon_H45 zenon_H5. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.88/1.06 apply (zenon_L22_); trivial. % 0.88/1.06 (* end of lemma zenon_L23_ *) % 0.88/1.06 assert (zenon_L24_ : (~(hskp27)) -> (hskp27) -> False). % 0.88/1.06 do 0 intro. intros zenon_H4c zenon_H4d. % 0.88/1.06 exact (zenon_H4c zenon_H4d). % 0.88/1.06 (* end of lemma zenon_L24_ *) % 0.88/1.06 assert (zenon_L25_ : (~(hskp9)) -> (hskp9) -> False). % 0.88/1.06 do 0 intro. intros zenon_H4e zenon_H4f. % 0.88/1.06 exact (zenon_H4e zenon_H4f). % 0.88/1.06 (* end of lemma zenon_L25_ *) % 0.88/1.06 assert (zenon_L26_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp27)) -> (~(hskp9)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H21 zenon_H50 zenon_H4c zenon_H4e. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H13 | zenon_intro zenon_H51 ]. % 0.88/1.06 apply (zenon_L10_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H4d | zenon_intro zenon_H4f ]. % 0.88/1.06 exact (zenon_H4c zenon_H4d). % 0.88/1.06 exact (zenon_H4e zenon_H4f). % 0.88/1.06 (* end of lemma zenon_L26_ *) % 0.88/1.06 assert (zenon_L27_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(hskp27)) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H26 zenon_H50 zenon_H4e zenon_H4c zenon_H9 zenon_Hb zenon_Hf. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.88/1.06 apply (zenon_L8_); trivial. % 0.88/1.06 apply (zenon_L26_); trivial. % 0.88/1.06 (* end of lemma zenon_L27_ *) % 0.88/1.06 assert (zenon_L28_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a2367))) -> (c1_1 (a2367)) -> (c2_1 (a2367)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H52 zenon_H12 zenon_H53 zenon_H54 zenon_H55. % 0.88/1.06 generalize (zenon_H52 (a2367)). zenon_intro zenon_H56. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H56); [ zenon_intro zenon_H11 | zenon_intro zenon_H57 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ]. % 0.88/1.06 exact (zenon_H53 zenon_H59). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ]. % 0.88/1.06 exact (zenon_H5b zenon_H54). % 0.88/1.06 exact (zenon_H5a zenon_H55). % 0.88/1.06 (* end of lemma zenon_L28_ *) % 0.88/1.06 assert (zenon_L29_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28)))))) -> (ndr1_0) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (c1_1 (a2316)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H5c zenon_H12 zenon_H5d zenon_H5e zenon_H5f. % 0.88/1.06 generalize (zenon_H5c (a2316)). zenon_intro zenon_H60. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H60); [ zenon_intro zenon_H11 | zenon_intro zenon_H61 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ]. % 0.88/1.06 exact (zenon_H5d zenon_H63). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H65 | zenon_intro zenon_H64 ]. % 0.88/1.06 exact (zenon_H5e zenon_H65). % 0.88/1.06 exact (zenon_H64 zenon_H5f). % 0.88/1.06 (* end of lemma zenon_L29_ *) % 0.88/1.06 assert (zenon_L30_ : (~(hskp17)) -> (hskp17) -> False). % 0.88/1.06 do 0 intro. intros zenon_H66 zenon_H67. % 0.88/1.06 exact (zenon_H66 zenon_H67). % 0.88/1.06 (* end of lemma zenon_L30_ *) % 0.88/1.06 assert (zenon_L31_ : ((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (c1_1 (a2316)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (~(hskp17)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H68 zenon_H69 zenon_H5f zenon_H5e zenon_H5d zenon_H66. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H52 | zenon_intro zenon_H6c ]. % 0.88/1.06 apply (zenon_L28_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H5c | zenon_intro zenon_H67 ]. % 0.88/1.06 apply (zenon_L29_); trivial. % 0.88/1.06 exact (zenon_H66 zenon_H67). % 0.88/1.06 (* end of lemma zenon_L31_ *) % 0.88/1.06 assert (zenon_L32_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H6d zenon_H6e zenon_H69 zenon_H66 zenon_Hf zenon_Hb zenon_H9 zenon_H4e zenon_H50 zenon_H26. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.88/1.06 apply (zenon_L27_); trivial. % 0.88/1.06 apply (zenon_L31_); trivial. % 0.88/1.06 (* end of lemma zenon_L32_ *) % 0.88/1.06 assert (zenon_L33_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp4)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H71 zenon_H6e zenon_H69 zenon_H66 zenon_H4e zenon_H50 zenon_H3a zenon_H36 zenon_H31 zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H45 zenon_H5 zenon_H47 zenon_H72. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.88/1.06 apply (zenon_L19_); trivial. % 0.88/1.06 apply (zenon_L23_); trivial. % 0.88/1.06 apply (zenon_L32_); trivial. % 0.88/1.06 (* end of lemma zenon_L33_ *) % 0.88/1.06 assert (zenon_L34_ : (forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48))))) -> (ndr1_0) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H73 zenon_H12 zenon_H74 zenon_H75 zenon_H76. % 0.88/1.06 generalize (zenon_H73 (a2306)). zenon_intro zenon_H77. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H77); [ zenon_intro zenon_H11 | zenon_intro zenon_H78 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H7a | zenon_intro zenon_H79 ]. % 0.88/1.06 exact (zenon_H74 zenon_H7a). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ]. % 0.88/1.06 exact (zenon_H75 zenon_H7c). % 0.88/1.06 exact (zenon_H76 zenon_H7b). % 0.88/1.06 (* end of lemma zenon_L34_ *) % 0.88/1.06 assert (zenon_L35_ : (~(hskp21)) -> (hskp21) -> False). % 0.88/1.06 do 0 intro. intros zenon_H7d zenon_H7e. % 0.88/1.06 exact (zenon_H7d zenon_H7e). % 0.88/1.06 (* end of lemma zenon_L35_ *) % 0.88/1.06 assert (zenon_L36_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp22)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H7f zenon_H76 zenon_H75 zenon_H74 zenon_H12 zenon_H7d zenon_H3. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H73 | zenon_intro zenon_H80 ]. % 0.88/1.06 apply (zenon_L34_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H7e | zenon_intro zenon_H4 ]. % 0.88/1.06 exact (zenon_H7d zenon_H7e). % 0.88/1.06 exact (zenon_H3 zenon_H4). % 0.88/1.06 (* end of lemma zenon_L36_ *) % 0.88/1.06 assert (zenon_L37_ : (~(hskp28)) -> (hskp28) -> False). % 0.88/1.06 do 0 intro. intros zenon_H81 zenon_H82. % 0.88/1.06 exact (zenon_H81 zenon_H82). % 0.88/1.06 (* end of lemma zenon_L37_ *) % 0.88/1.06 assert (zenon_L38_ : (~(hskp26)) -> (hskp26) -> False). % 0.88/1.06 do 0 intro. intros zenon_H83 zenon_H84. % 0.88/1.06 exact (zenon_H83 zenon_H84). % 0.88/1.06 (* end of lemma zenon_L38_ *) % 0.88/1.06 assert (zenon_L39_ : (~(hskp16)) -> (hskp16) -> False). % 0.88/1.06 do 0 intro. intros zenon_H85 zenon_H86. % 0.88/1.06 exact (zenon_H85 zenon_H86). % 0.88/1.06 (* end of lemma zenon_L39_ *) % 0.88/1.06 assert (zenon_L40_ : ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp28)) -> (~(hskp26)) -> (~(hskp16)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H87 zenon_H81 zenon_H83 zenon_H85. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H82 | zenon_intro zenon_H88 ]. % 0.88/1.06 exact (zenon_H81 zenon_H82). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H88); [ zenon_intro zenon_H84 | zenon_intro zenon_H86 ]. % 0.88/1.06 exact (zenon_H83 zenon_H84). % 0.88/1.06 exact (zenon_H85 zenon_H86). % 0.88/1.06 (* end of lemma zenon_L40_ *) % 0.88/1.06 assert (zenon_L41_ : (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c1_1 (a2325))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c0_1 (a2325))) -> (c2_1 (a2325)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H89 zenon_H12 zenon_H8a zenon_H8b zenon_H8c zenon_H8d. % 0.88/1.06 generalize (zenon_H89 (a2325)). zenon_intro zenon_H8e. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H8e); [ zenon_intro zenon_H11 | zenon_intro zenon_H8f ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H91 | zenon_intro zenon_H90 ]. % 0.88/1.06 exact (zenon_H8a zenon_H91). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 0.88/1.06 generalize (zenon_H8b (a2325)). zenon_intro zenon_H94. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H94); [ zenon_intro zenon_H11 | zenon_intro zenon_H95 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 0.88/1.06 exact (zenon_H8c zenon_H97). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H92 | zenon_intro zenon_H98 ]. % 0.88/1.06 exact (zenon_H92 zenon_H8d). % 0.88/1.06 exact (zenon_H98 zenon_H93). % 0.88/1.06 exact (zenon_H92 zenon_H8d). % 0.88/1.06 (* end of lemma zenon_L41_ *) % 0.88/1.06 assert (zenon_L42_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> (c3_1 (a2278)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H99 zenon_H12 zenon_H9a zenon_H9b zenon_H9c. % 0.88/1.06 generalize (zenon_H99 (a2278)). zenon_intro zenon_H9d. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H9d); [ zenon_intro zenon_H11 | zenon_intro zenon_H9e ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ]. % 0.88/1.06 exact (zenon_Ha0 zenon_H9a). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ]. % 0.88/1.06 exact (zenon_Ha2 zenon_H9b). % 0.88/1.06 exact (zenon_Ha1 zenon_H9c). % 0.88/1.06 (* end of lemma zenon_L42_ *) % 0.88/1.06 assert (zenon_L43_ : (~(hskp0)) -> (hskp0) -> False). % 0.88/1.06 do 0 intro. intros zenon_Ha3 zenon_Ha4. % 0.88/1.06 exact (zenon_Ha3 zenon_Ha4). % 0.88/1.06 (* end of lemma zenon_L43_ *) % 0.88/1.06 assert (zenon_L44_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (c2_1 (a2325)) -> (~(c0_1 (a2325))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c1_1 (a2325))) -> (c3_1 (a2278)) -> (c1_1 (a2278)) -> (c0_1 (a2278)) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Ha5 zenon_H8d zenon_H8c zenon_H8b zenon_H8a zenon_H9c zenon_H9b zenon_H9a zenon_H12 zenon_Ha3. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha6 ]. % 0.88/1.06 apply (zenon_L41_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha4 ]. % 0.88/1.06 apply (zenon_L42_); trivial. % 0.88/1.06 exact (zenon_Ha3 zenon_Ha4). % 0.88/1.06 (* end of lemma zenon_L44_ *) % 0.88/1.06 assert (zenon_L45_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp0)) -> (~(c1_1 (a2325))) -> (~(c0_1 (a2325))) -> (c2_1 (a2325)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Ha7 zenon_Ha8 zenon_Ha3 zenon_H8a zenon_H8c zenon_H8d zenon_Ha5 zenon_H31 zenon_H5. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H8b | zenon_intro zenon_Hab ]. % 0.88/1.06 apply (zenon_L44_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H32 | zenon_intro zenon_H6 ]. % 0.88/1.06 exact (zenon_H31 zenon_H32). % 0.88/1.06 exact (zenon_H5 zenon_H6). % 0.88/1.06 (* end of lemma zenon_L45_ *) % 0.88/1.06 assert (zenon_L46_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (~(c1_1 (a2325))) -> (~(c0_1 (a2325))) -> (c2_1 (a2325)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hac zenon_Ha8 zenon_H5 zenon_H31 zenon_H8a zenon_H8c zenon_H8d zenon_Ha3 zenon_Ha5 zenon_H83 zenon_H85 zenon_H87. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.88/1.06 apply (zenon_L40_); trivial. % 0.88/1.06 apply (zenon_L45_); trivial. % 0.88/1.06 (* end of lemma zenon_L46_ *) % 0.88/1.06 assert (zenon_L47_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (c2_1 (a2325)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Had zenon_H12 zenon_H8c zenon_H8a zenon_H8d. % 0.88/1.06 generalize (zenon_Had (a2325)). zenon_intro zenon_Hae. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_Hae); [ zenon_intro zenon_H11 | zenon_intro zenon_Haf ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H97 | zenon_intro zenon_Hb0 ]. % 0.88/1.06 exact (zenon_H8c zenon_H97). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H91 | zenon_intro zenon_H92 ]. % 0.88/1.06 exact (zenon_H8a zenon_H91). % 0.88/1.06 exact (zenon_H92 zenon_H8d). % 0.88/1.06 (* end of lemma zenon_L47_ *) % 0.88/1.06 assert (zenon_L48_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a2327))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a2327))) -> (c3_1 (a2327)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hb1 zenon_H12 zenon_H3d zenon_Hb2 zenon_H3c zenon_H3e. % 0.88/1.06 generalize (zenon_Hb1 (a2327)). zenon_intro zenon_Hb3. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_Hb3); [ zenon_intro zenon_H11 | zenon_intro zenon_Hb4 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H44 | zenon_intro zenon_Hb5 ]. % 0.88/1.06 exact (zenon_H3d zenon_H44). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H43 ]. % 0.88/1.06 generalize (zenon_Hb2 (a2327)). zenon_intro zenon_Hb7. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_Hb7); [ zenon_intro zenon_H11 | zenon_intro zenon_Hb8 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H42 | zenon_intro zenon_Hb9 ]. % 0.88/1.06 exact (zenon_H3c zenon_H42). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_Hba | zenon_intro zenon_H44 ]. % 0.88/1.06 exact (zenon_Hb6 zenon_Hba). % 0.88/1.06 exact (zenon_H3d zenon_H44). % 0.88/1.06 exact (zenon_H43 zenon_H3e). % 0.88/1.06 (* end of lemma zenon_L48_ *) % 0.88/1.06 assert (zenon_L49_ : (~(hskp1)) -> (hskp1) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hbb zenon_Hbc. % 0.88/1.06 exact (zenon_Hbb zenon_Hbc). % 0.88/1.06 (* end of lemma zenon_L49_ *) % 0.88/1.06 assert (zenon_L50_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (c2_1 (a2325)) -> (~(c1_1 (a2325))) -> (~(c0_1 (a2325))) -> (c3_1 (a2327)) -> (~(c0_1 (a2327))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a2327))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hbd zenon_H8d zenon_H8a zenon_H8c zenon_H3e zenon_H3c zenon_Hb2 zenon_H3d zenon_H12 zenon_Hbb. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Had | zenon_intro zenon_Hbe ]. % 0.88/1.06 apply (zenon_L47_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 0.88/1.06 apply (zenon_L48_); trivial. % 0.88/1.06 exact (zenon_Hbb zenon_Hbc). % 0.88/1.06 (* end of lemma zenon_L50_ *) % 0.88/1.06 assert (zenon_L51_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a2345))) -> (~(c1_1 (a2345))) -> (c3_1 (a2345)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hbf zenon_H12 zenon_Hc0 zenon_Hc1 zenon_Hc2. % 0.88/1.06 generalize (zenon_Hbf (a2345)). zenon_intro zenon_Hc3. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_Hc3); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc4 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ]. % 0.88/1.06 exact (zenon_Hc0 zenon_Hc6). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc7 ]. % 0.88/1.06 exact (zenon_Hc1 zenon_Hc8). % 0.88/1.06 exact (zenon_Hc7 zenon_Hc2). % 0.88/1.06 (* end of lemma zenon_L51_ *) % 0.88/1.06 assert (zenon_L52_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (c3_1 (a2327)) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (c2_1 (a2325)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp0)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_Hbb zenon_H3d zenon_H3c zenon_H3e zenon_H8c zenon_H8a zenon_H8d zenon_Hbd zenon_Ha3. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hcd ]. % 0.88/1.06 apply (zenon_L50_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbf | zenon_intro zenon_Ha4 ]. % 0.88/1.06 apply (zenon_L51_); trivial. % 0.88/1.06 exact (zenon_Ha3 zenon_Ha4). % 0.88/1.06 (* end of lemma zenon_L52_ *) % 0.88/1.06 assert (zenon_L53_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a2325)) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H72 zenon_Hce zenon_Hca zenon_Hbb zenon_Hbd zenon_H87 zenon_H85 zenon_Ha5 zenon_Ha3 zenon_H8d zenon_H8c zenon_H8a zenon_H5 zenon_Ha8 zenon_Hac zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H31 zenon_H33 zenon_H36 zenon_H3a. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.88/1.06 apply (zenon_L19_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.88/1.06 apply (zenon_L46_); trivial. % 0.88/1.06 apply (zenon_L52_); trivial. % 0.88/1.06 (* end of lemma zenon_L53_ *) % 0.88/1.06 assert (zenon_L54_ : ((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hcf zenon_H72 zenon_Hce zenon_Hca zenon_Hbb zenon_Hbd zenon_H87 zenon_H85 zenon_Ha5 zenon_Ha3 zenon_H5 zenon_Ha8 zenon_Hac zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H31 zenon_H33 zenon_H36 zenon_H3a. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.88/1.06 apply (zenon_L53_); trivial. % 0.88/1.06 (* end of lemma zenon_L54_ *) % 0.88/1.06 assert (zenon_L55_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22)))))) -> (ndr1_0) -> (~(c0_1 (a2324))) -> (~(c3_1 (a2324))) -> (c1_1 (a2324)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hd2 zenon_H12 zenon_Hd3 zenon_Hd4 zenon_Hd5. % 0.88/1.06 generalize (zenon_Hd2 (a2324)). zenon_intro zenon_Hd6. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_Hd6); [ zenon_intro zenon_H11 | zenon_intro zenon_Hd7 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hd8 ]. % 0.88/1.06 exact (zenon_Hd3 zenon_Hd9). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hda ]. % 0.88/1.06 exact (zenon_Hd4 zenon_Hdb). % 0.88/1.06 exact (zenon_Hda zenon_Hd5). % 0.88/1.06 (* end of lemma zenon_L55_ *) % 0.88/1.06 assert (zenon_L56_ : (~(hskp14)) -> (hskp14) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hdc zenon_Hdd. % 0.88/1.06 exact (zenon_Hdc zenon_Hdd). % 0.88/1.06 (* end of lemma zenon_L56_ *) % 0.88/1.06 assert (zenon_L57_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (c1_1 (a2324)) -> (~(c3_1 (a2324))) -> (~(c0_1 (a2324))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp14)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hde zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H12 zenon_Hbb zenon_Hdc. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hdf ]. % 0.88/1.06 apply (zenon_L55_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hdd ]. % 0.88/1.06 exact (zenon_Hbb zenon_Hbc). % 0.88/1.06 exact (zenon_Hdc zenon_Hdd). % 0.88/1.06 (* end of lemma zenon_L57_ *) % 0.88/1.06 assert (zenon_L58_ : ((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(hskp14)) -> False). % 0.88/1.06 do 0 intro. intros zenon_He0 zenon_Hde zenon_Hbb zenon_Hdc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H12. zenon_intro zenon_He1. % 0.88/1.06 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd5. zenon_intro zenon_He2. % 0.88/1.06 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.88/1.06 apply (zenon_L57_); trivial. % 0.88/1.06 (* end of lemma zenon_L58_ *) % 0.88/1.06 assert (zenon_L59_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (ndr1_0) -> (~(c0_1 (a2316))) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> False). % 0.88/1.06 do 0 intro. intros zenon_He3 zenon_H12 zenon_He4 zenon_H5d zenon_H5e. % 0.88/1.06 generalize (zenon_He3 (a2316)). zenon_intro zenon_He5. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_He5); [ zenon_intro zenon_H11 | zenon_intro zenon_He6 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He8 | zenon_intro zenon_He7 ]. % 0.88/1.06 exact (zenon_He4 zenon_He8). % 0.88/1.06 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H63 | zenon_intro zenon_H65 ]. % 0.88/1.06 exact (zenon_H5d zenon_H63). % 0.88/1.06 exact (zenon_H5e zenon_H65). % 0.88/1.06 (* end of lemma zenon_L59_ *) % 0.88/1.06 assert (zenon_L60_ : (forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60)))))) -> (ndr1_0) -> (~(c3_1 (a2316))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> False). % 0.88/1.06 do 0 intro. intros zenon_He9 zenon_H12 zenon_H5e zenon_He3 zenon_H5d zenon_H5f. % 0.88/1.06 generalize (zenon_He9 (a2316)). zenon_intro zenon_Hea. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_Hea); [ zenon_intro zenon_H11 | zenon_intro zenon_Heb ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_H65 | zenon_intro zenon_Hec ]. % 0.88/1.06 exact (zenon_H5e zenon_H65). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_He4 | zenon_intro zenon_H64 ]. % 0.88/1.06 apply (zenon_L59_); trivial. % 0.88/1.06 exact (zenon_H64 zenon_H5f). % 0.88/1.06 (* end of lemma zenon_L60_ *) % 0.88/1.06 assert (zenon_L61_ : ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(c3_1 (a2316))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp16)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hed zenon_H5f zenon_H5d zenon_He3 zenon_H5e zenon_H12 zenon_H7d zenon_H85. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_He9 | zenon_intro zenon_Hee ]. % 0.88/1.06 apply (zenon_L60_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H7e | zenon_intro zenon_H86 ]. % 0.88/1.06 exact (zenon_H7d zenon_H7e). % 0.88/1.06 exact (zenon_H85 zenon_H86). % 0.88/1.06 (* end of lemma zenon_L61_ *) % 0.88/1.06 assert (zenon_L62_ : (~(hskp10)) -> (hskp10) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hef zenon_Hf0. % 0.88/1.06 exact (zenon_Hef zenon_Hf0). % 0.88/1.06 (* end of lemma zenon_L62_ *) % 0.88/1.06 assert (zenon_L63_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp16)) -> (~(hskp21)) -> (ndr1_0) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hf1 zenon_H85 zenon_H7d zenon_H12 zenon_H5e zenon_H5d zenon_H5f zenon_Hed zenon_H9 zenon_Hef. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf2 ]. % 0.88/1.06 apply (zenon_L61_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Ha | zenon_intro zenon_Hf0 ]. % 0.88/1.06 exact (zenon_H9 zenon_Ha). % 0.88/1.06 exact (zenon_Hef zenon_Hf0). % 0.88/1.06 (* end of lemma zenon_L63_ *) % 0.88/1.06 assert (zenon_L64_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H6d zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_Hed zenon_H85 zenon_H9 zenon_Hef zenon_Hf1. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.88/1.06 apply (zenon_L63_); trivial. % 0.88/1.06 apply (zenon_L58_); trivial. % 0.88/1.06 (* end of lemma zenon_L64_ *) % 0.88/1.06 assert (zenon_L65_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_Hed zenon_Hef zenon_Hf1 zenon_Hf5 zenon_H72 zenon_Hce zenon_Hca zenon_Hbb zenon_Hbd zenon_H87 zenon_H85 zenon_Ha5 zenon_Ha3 zenon_H5 zenon_Ha8 zenon_Hac zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H31 zenon_H36 zenon_H3a zenon_H7f zenon_Hdc zenon_Hde zenon_Hf3. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.88/1.06 apply (zenon_L36_); trivial. % 0.88/1.06 apply (zenon_L54_); trivial. % 0.88/1.06 apply (zenon_L58_); trivial. % 0.88/1.06 apply (zenon_L64_); trivial. % 0.88/1.06 (* end of lemma zenon_L65_ *) % 0.88/1.06 assert (zenon_L66_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp13)) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hf8 zenon_Hed zenon_Hef zenon_Hf1 zenon_Hf5 zenon_Hce zenon_Hca zenon_Hbb zenon_Hbd zenon_H87 zenon_H85 zenon_Ha5 zenon_Ha3 zenon_Ha8 zenon_Hac zenon_H7f zenon_Hdc zenon_Hde zenon_Hf3 zenon_H72 zenon_H47 zenon_H5 zenon_H45 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H31 zenon_H36 zenon_H3a zenon_H50 zenon_H4e zenon_H69 zenon_H6e zenon_H71. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.88/1.06 apply (zenon_L33_); trivial. % 0.88/1.06 apply (zenon_L65_); trivial. % 0.88/1.06 (* end of lemma zenon_L66_ *) % 0.88/1.06 assert (zenon_L67_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp16)) -> (~(hskp21)) -> (ndr1_0) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp28)) -> (~(hskp9)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hf9 zenon_H85 zenon_H7d zenon_H12 zenon_H5e zenon_H5d zenon_H5f zenon_Hed zenon_H81 zenon_H4e. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfa ]. % 0.88/1.06 apply (zenon_L61_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H82 | zenon_intro zenon_H4f ]. % 0.88/1.06 exact (zenon_H81 zenon_H82). % 0.88/1.06 exact (zenon_H4e zenon_H4f). % 0.88/1.06 (* end of lemma zenon_L67_ *) % 0.88/1.06 assert (zenon_L68_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26))) -> (c1_1 (a2316)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (~(hskp26)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Ha7 zenon_Hfb zenon_H5f zenon_H5e zenon_H5d zenon_H83. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H5c | zenon_intro zenon_Hfc ]. % 0.88/1.06 apply (zenon_L29_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H99 | zenon_intro zenon_H84 ]. % 0.88/1.06 apply (zenon_L42_); trivial. % 0.88/1.06 exact (zenon_H83 zenon_H84). % 0.88/1.06 (* end of lemma zenon_L68_ *) % 0.88/1.06 assert (zenon_L69_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a2345))) -> (~(c1_1 (a2345))) -> (~(c2_1 (a2345))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hb2 zenon_H12 zenon_Hc0 zenon_Hc1 zenon_Hfd. % 0.88/1.06 generalize (zenon_Hb2 (a2345)). zenon_intro zenon_Hfe. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_Hfe); [ zenon_intro zenon_H11 | zenon_intro zenon_Hff ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H100 ]. % 0.88/1.06 exact (zenon_Hc0 zenon_Hc6). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H101 ]. % 0.88/1.06 exact (zenon_Hc1 zenon_Hc8). % 0.88/1.06 exact (zenon_Hfd zenon_H101). % 0.88/1.06 (* end of lemma zenon_L69_ *) % 0.88/1.06 assert (zenon_L70_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a2345))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2345))) -> (c3_1 (a2345)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H8b zenon_H12 zenon_Hc0 zenon_Hb2 zenon_Hc1 zenon_Hc2. % 0.88/1.06 generalize (zenon_H8b (a2345)). zenon_intro zenon_H102. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H102); [ zenon_intro zenon_H11 | zenon_intro zenon_H103 ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H104 ]. % 0.88/1.06 exact (zenon_Hc0 zenon_Hc6). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hc7 ]. % 0.88/1.06 apply (zenon_L69_); trivial. % 0.88/1.06 exact (zenon_Hc7 zenon_Hc2). % 0.88/1.06 (* end of lemma zenon_L70_ *) % 0.88/1.06 assert (zenon_L71_ : (~(hskp20)) -> (hskp20) -> False). % 0.88/1.06 do 0 intro. intros zenon_H105 zenon_H106. % 0.88/1.06 exact (zenon_H105 zenon_H106). % 0.88/1.06 (* end of lemma zenon_L71_ *) % 0.88/1.06 assert (zenon_L72_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (c3_1 (a2345)) -> (~(c1_1 (a2345))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a2345))) -> (ndr1_0) -> False). % 0.88/1.06 do 0 intro. intros zenon_H107 zenon_H105 zenon_Hc2 zenon_Hc1 zenon_Hb2 zenon_Hc0 zenon_H12. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H8b | zenon_intro zenon_H106 ]. % 0.88/1.06 apply (zenon_L70_); trivial. % 0.88/1.06 exact (zenon_H105 zenon_H106). % 0.88/1.06 (* end of lemma zenon_L72_ *) % 0.88/1.06 assert (zenon_L73_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H105 zenon_H107 zenon_Ha3. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hcd ]. % 0.88/1.06 apply (zenon_L72_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbf | zenon_intro zenon_Ha4 ]. % 0.88/1.06 apply (zenon_L51_); trivial. % 0.88/1.06 exact (zenon_Ha3 zenon_Ha4). % 0.88/1.06 (* end of lemma zenon_L73_ *) % 0.88/1.06 assert (zenon_L74_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (ndr1_0) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_Hac zenon_Hfb zenon_Hed zenon_H85 zenon_H5f zenon_H5d zenon_H5e zenon_H12 zenon_H4e zenon_Hf9 zenon_H107 zenon_H105 zenon_Ha3 zenon_Hca zenon_Hce. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.88/1.06 apply (zenon_L67_); trivial. % 0.88/1.06 apply (zenon_L68_); trivial. % 0.88/1.06 apply (zenon_L73_); trivial. % 0.88/1.06 apply (zenon_L58_); trivial. % 0.88/1.06 (* end of lemma zenon_L74_ *) % 0.88/1.06 assert (zenon_L75_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H108 zenon_H12 zenon_H109 zenon_H10a zenon_H10b. % 0.88/1.06 generalize (zenon_H108 (a2323)). zenon_intro zenon_H10c. % 0.88/1.06 apply (zenon_imply_s _ _ zenon_H10c); [ zenon_intro zenon_H11 | zenon_intro zenon_H10d ]. % 0.88/1.06 exact (zenon_H11 zenon_H12). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H10f | zenon_intro zenon_H10e ]. % 0.88/1.06 exact (zenon_H109 zenon_H10f). % 0.88/1.06 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H111 | zenon_intro zenon_H110 ]. % 0.88/1.06 exact (zenon_H111 zenon_H10a). % 0.88/1.06 exact (zenon_H110 zenon_H10b). % 0.88/1.06 (* end of lemma zenon_L75_ *) % 0.88/1.06 assert (zenon_L76_ : (~(hskp3)) -> (hskp3) -> False). % 0.88/1.06 do 0 intro. intros zenon_H112 zenon_H113. % 0.88/1.06 exact (zenon_H112 zenon_H113). % 0.88/1.06 (* end of lemma zenon_L76_ *) % 0.88/1.06 assert (zenon_L77_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp4)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H114 zenon_H10b zenon_H10a zenon_H109 zenon_H12 zenon_H112 zenon_H45. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H108 | zenon_intro zenon_H115 ]. % 0.88/1.07 apply (zenon_L75_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H113 | zenon_intro zenon_H46 ]. % 0.88/1.07 exact (zenon_H112 zenon_H113). % 0.88/1.07 exact (zenon_H45 zenon_H46). % 0.88/1.07 (* end of lemma zenon_L77_ *) % 0.88/1.07 assert (zenon_L78_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp4)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H116 zenon_H114 zenon_H112 zenon_H45. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.88/1.07 apply (zenon_L77_); trivial. % 0.88/1.07 (* end of lemma zenon_L78_ *) % 0.88/1.07 assert (zenon_L79_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (ndr1_0) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H119 zenon_H114 zenon_H45 zenon_H112 zenon_Hce zenon_Hca zenon_Ha3 zenon_H107 zenon_Hf9 zenon_H4e zenon_H12 zenon_H5e zenon_H5d zenon_H5f zenon_H85 zenon_Hed zenon_Hfb zenon_Hac zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.88/1.07 apply (zenon_L74_); trivial. % 0.88/1.07 apply (zenon_L78_); trivial. % 0.88/1.07 (* end of lemma zenon_L79_ *) % 0.88/1.07 assert (zenon_L80_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (ndr1_0) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> False). % 0.88/1.07 do 0 intro. intros zenon_He3 zenon_H12 zenon_H11a zenon_H11b zenon_H11c. % 0.88/1.07 generalize (zenon_He3 (a2304)). zenon_intro zenon_H11d. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H11d); [ zenon_intro zenon_H11 | zenon_intro zenon_H11e ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 0.88/1.07 exact (zenon_H11a zenon_H120). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.88/1.07 exact (zenon_H11b zenon_H122). % 0.88/1.07 exact (zenon_H11c zenon_H121). % 0.88/1.07 (* end of lemma zenon_L80_ *) % 0.88/1.07 assert (zenon_L81_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp10)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hf1 zenon_H11c zenon_H11b zenon_H11a zenon_H12 zenon_H9 zenon_Hef. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf2 ]. % 0.88/1.07 apply (zenon_L80_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Ha | zenon_intro zenon_Hf0 ]. % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 exact (zenon_Hef zenon_Hf0). % 0.88/1.07 (* end of lemma zenon_L81_ *) % 0.88/1.07 assert (zenon_L82_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H8b zenon_H12 zenon_H123 zenon_H124 zenon_H125. % 0.88/1.07 generalize (zenon_H8b (a2302)). zenon_intro zenon_H126. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H126); [ zenon_intro zenon_H11 | zenon_intro zenon_H127 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ]. % 0.88/1.07 exact (zenon_H123 zenon_H129). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H12b | zenon_intro zenon_H12a ]. % 0.88/1.07 exact (zenon_H12b zenon_H124). % 0.88/1.07 exact (zenon_H12a zenon_H125). % 0.88/1.07 (* end of lemma zenon_L82_ *) % 0.88/1.07 assert (zenon_L83_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> False). % 0.88/1.07 do 0 intro. intros zenon_H107 zenon_H105 zenon_H125 zenon_H124 zenon_H123 zenon_H12. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H8b | zenon_intro zenon_H106 ]. % 0.88/1.07 apply (zenon_L82_); trivial. % 0.88/1.07 exact (zenon_H105 zenon_H106). % 0.88/1.07 (* end of lemma zenon_L83_ *) % 0.88/1.07 assert (zenon_L84_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H119 zenon_H114 zenon_H45 zenon_H112 zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.88/1.07 apply (zenon_L83_); trivial. % 0.88/1.07 apply (zenon_L78_); trivial. % 0.88/1.07 (* end of lemma zenon_L84_ *) % 0.88/1.07 assert (zenon_L85_ : (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H89 zenon_H12 zenon_H12c zenon_H12d zenon_H12e. % 0.88/1.07 generalize (zenon_H89 (a2299)). zenon_intro zenon_H12f. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H12f); [ zenon_intro zenon_H11 | zenon_intro zenon_H130 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ]. % 0.88/1.07 exact (zenon_H12c zenon_H132). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H134 | zenon_intro zenon_H133 ]. % 0.88/1.07 exact (zenon_H12d zenon_H134). % 0.88/1.07 exact (zenon_H133 zenon_H12e). % 0.88/1.07 (* end of lemma zenon_L85_ *) % 0.88/1.07 assert (zenon_L86_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp0)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Ha7 zenon_Ha5 zenon_H12e zenon_H12d zenon_H12c zenon_Ha3. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha6 ]. % 0.88/1.07 apply (zenon_L85_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha4 ]. % 0.88/1.07 apply (zenon_L42_); trivial. % 0.88/1.07 exact (zenon_Ha3 zenon_Ha4). % 0.88/1.07 (* end of lemma zenon_L86_ *) % 0.88/1.07 assert (zenon_L87_ : ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hce zenon_Hca zenon_H105 zenon_H107 zenon_H87 zenon_H85 zenon_H12c zenon_H12d zenon_H12e zenon_Ha3 zenon_Ha5 zenon_Hac. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.88/1.07 apply (zenon_L40_); trivial. % 0.88/1.07 apply (zenon_L86_); trivial. % 0.88/1.07 apply (zenon_L73_); trivial. % 0.88/1.07 (* end of lemma zenon_L87_ *) % 0.88/1.07 assert (zenon_L88_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H119 zenon_H114 zenon_H45 zenon_H112 zenon_Hac zenon_Ha5 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H85 zenon_H87 zenon_H107 zenon_Hca zenon_Hce. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.88/1.07 apply (zenon_L87_); trivial. % 0.88/1.07 apply (zenon_L78_); trivial. % 0.88/1.07 (* end of lemma zenon_L88_ *) % 0.88/1.07 assert (zenon_L89_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp9)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hf9 zenon_H11c zenon_H11b zenon_H11a zenon_H12 zenon_H81 zenon_H4e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfa ]. % 0.88/1.07 apply (zenon_L80_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H82 | zenon_intro zenon_H4f ]. % 0.88/1.07 exact (zenon_H81 zenon_H82). % 0.88/1.07 exact (zenon_H4e zenon_H4f). % 0.88/1.07 (* end of lemma zenon_L89_ *) % 0.88/1.07 assert (zenon_L90_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H135 zenon_Hac zenon_Ha5 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_Hf9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.88/1.07 apply (zenon_L89_); trivial. % 0.88/1.07 apply (zenon_L86_); trivial. % 0.88/1.07 (* end of lemma zenon_L90_ *) % 0.88/1.07 assert (zenon_L91_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H138 zenon_H4e zenon_Hf9 zenon_Hce zenon_Hca zenon_H107 zenon_H87 zenon_H12c zenon_H12d zenon_H12e zenon_Ha3 zenon_Ha5 zenon_Hac zenon_H112 zenon_H45 zenon_H114 zenon_H119. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.88/1.07 apply (zenon_L88_); trivial. % 0.88/1.07 apply (zenon_L90_); trivial. % 0.88/1.07 (* end of lemma zenon_L91_ *) % 0.88/1.07 assert (zenon_L92_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H139 zenon_H12 zenon_H13a zenon_H13b zenon_H13c. % 0.88/1.07 generalize (zenon_H139 (a2295)). zenon_intro zenon_H13d. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H13d); [ zenon_intro zenon_H11 | zenon_intro zenon_H13e ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 0.88/1.07 exact (zenon_H13a zenon_H140). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 0.88/1.07 exact (zenon_H13b zenon_H142). % 0.88/1.07 exact (zenon_H141 zenon_H13c). % 0.88/1.07 (* end of lemma zenon_L92_ *) % 0.88/1.07 assert (zenon_L93_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (ndr1_0) -> (~(c1_1 (a2337))) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H143 zenon_H12 zenon_H144 zenon_H145 zenon_H146. % 0.88/1.07 generalize (zenon_H143 (a2337)). zenon_intro zenon_H147. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H147); [ zenon_intro zenon_H11 | zenon_intro zenon_H148 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ]. % 0.88/1.07 exact (zenon_H144 zenon_H14a). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H14c | zenon_intro zenon_H14b ]. % 0.88/1.07 exact (zenon_H14c zenon_H145). % 0.88/1.07 exact (zenon_H14b zenon_H146). % 0.88/1.07 (* end of lemma zenon_L93_ *) % 0.88/1.07 assert (zenon_L94_ : (forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66)))))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H14d zenon_H12 zenon_H14e zenon_H9a zenon_H9b. % 0.88/1.07 generalize (zenon_H14d (a2278)). zenon_intro zenon_H14f. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H14f); [ zenon_intro zenon_H11 | zenon_intro zenon_H150 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ]. % 0.88/1.07 generalize (zenon_H14e (a2278)). zenon_intro zenon_H153. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H153); [ zenon_intro zenon_H11 | zenon_intro zenon_H154 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H155 ]. % 0.88/1.07 exact (zenon_Ha0 zenon_H9a). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_Ha2 | zenon_intro zenon_H156 ]. % 0.88/1.07 exact (zenon_Ha2 zenon_H9b). % 0.88/1.07 exact (zenon_H156 zenon_H152). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha2 ]. % 0.88/1.07 exact (zenon_Ha0 zenon_H9a). % 0.88/1.07 exact (zenon_Ha2 zenon_H9b). % 0.88/1.07 (* end of lemma zenon_L94_ *) % 0.88/1.07 assert (zenon_L95_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2337)) -> (c0_1 (a2337)) -> (~(c1_1 (a2337))) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> (c3_1 (a2278)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H157 zenon_H146 zenon_H145 zenon_H144 zenon_H14e zenon_H12 zenon_H9a zenon_H9b zenon_H9c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 0.88/1.07 apply (zenon_L93_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 0.88/1.07 apply (zenon_L94_); trivial. % 0.88/1.07 apply (zenon_L42_); trivial. % 0.88/1.07 (* end of lemma zenon_L95_ *) % 0.88/1.07 assert (zenon_L96_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(c1_1 (a2337))) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Ha7 zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H144 zenon_H145 zenon_H146 zenon_H157 zenon_Hbb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H139 | zenon_intro zenon_H15a ]. % 0.88/1.07 apply (zenon_L92_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H14e | zenon_intro zenon_Hbc ]. % 0.88/1.07 apply (zenon_L95_); trivial. % 0.88/1.07 exact (zenon_Hbb zenon_Hbc). % 0.88/1.07 (* end of lemma zenon_L96_ *) % 0.88/1.07 assert (zenon_L97_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2337))) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hac zenon_H159 zenon_Hbb zenon_H144 zenon_H145 zenon_H146 zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H83 zenon_H85 zenon_H87. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.88/1.07 apply (zenon_L40_); trivial. % 0.88/1.07 apply (zenon_L96_); trivial. % 0.88/1.07 (* end of lemma zenon_L97_ *) % 0.88/1.07 assert (zenon_L98_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp22)) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H15b zenon_Hce zenon_Hca zenon_Ha3 zenon_H105 zenon_H107 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H3 zenon_H5 zenon_H7. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.88/1.07 apply (zenon_L4_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.88/1.07 apply (zenon_L97_); trivial. % 0.88/1.07 apply (zenon_L73_); trivial. % 0.88/1.07 (* end of lemma zenon_L98_ *) % 0.88/1.07 assert (zenon_L99_ : ((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hcf zenon_Hce zenon_Hca zenon_H87 zenon_H85 zenon_Ha5 zenon_Ha3 zenon_H105 zenon_H107 zenon_Hac. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.88/1.07 apply (zenon_L40_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H8b | zenon_intro zenon_H106 ]. % 0.88/1.07 apply (zenon_L44_); trivial. % 0.88/1.07 exact (zenon_H105 zenon_H106). % 0.88/1.07 apply (zenon_L73_); trivial. % 0.88/1.07 (* end of lemma zenon_L99_ *) % 0.88/1.07 assert (zenon_L100_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hf5 zenon_Ha5 zenon_H7 zenon_H5 zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H85 zenon_H87 zenon_H107 zenon_H105 zenon_Ha3 zenon_Hca zenon_Hce zenon_H15b. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.88/1.07 apply (zenon_L98_); trivial. % 0.88/1.07 apply (zenon_L99_); trivial. % 0.88/1.07 (* end of lemma zenon_L100_ *) % 0.88/1.07 assert (zenon_L101_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp21)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H15f zenon_H10b zenon_H10a zenon_H109 zenon_H12 zenon_H1 zenon_H7d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H108 | zenon_intro zenon_H160 ]. % 0.88/1.07 apply (zenon_L75_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H2 | zenon_intro zenon_H7e ]. % 0.88/1.07 exact (zenon_H1 zenon_H2). % 0.88/1.07 exact (zenon_H7d zenon_H7e). % 0.88/1.07 (* end of lemma zenon_L101_ *) % 0.88/1.07 assert (zenon_L102_ : (~(hskp7)) -> (hskp7) -> False). % 0.88/1.07 do 0 intro. intros zenon_H161 zenon_H162. % 0.88/1.07 exact (zenon_H161 zenon_H162). % 0.88/1.07 (* end of lemma zenon_L102_ *) % 0.88/1.07 assert (zenon_L103_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> (~(hskp7)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hc9 zenon_H163 zenon_H9 zenon_H161. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hbf | zenon_intro zenon_H164 ]. % 0.88/1.07 apply (zenon_L51_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_Ha | zenon_intro zenon_H162 ]. % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 exact (zenon_H161 zenon_H162). % 0.88/1.07 (* end of lemma zenon_L103_ *) % 0.88/1.07 assert (zenon_L104_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H15c zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.88/1.07 apply (zenon_L97_); trivial. % 0.88/1.07 apply (zenon_L103_); trivial. % 0.88/1.07 (* end of lemma zenon_L104_ *) % 0.88/1.07 assert (zenon_L105_ : (~(hskp15)) -> (hskp15) -> False). % 0.88/1.07 do 0 intro. intros zenon_H165 zenon_H166. % 0.88/1.07 exact (zenon_H165 zenon_H166). % 0.88/1.07 (* end of lemma zenon_L105_ *) % 0.88/1.07 assert (zenon_L106_ : ((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> (~(hskp16)) -> False). % 0.88/1.07 do 0 intro. intros zenon_He0 zenon_H167 zenon_H165 zenon_H85. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H12. zenon_intro zenon_He1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd5. zenon_intro zenon_He2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H168 ]. % 0.88/1.07 apply (zenon_L55_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H166 | zenon_intro zenon_H86 ]. % 0.88/1.07 exact (zenon_H165 zenon_H166). % 0.88/1.07 exact (zenon_H85 zenon_H86). % 0.88/1.07 (* end of lemma zenon_L106_ *) % 0.88/1.07 assert (zenon_L107_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H116 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H85 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.88/1.07 apply (zenon_L101_); trivial. % 0.88/1.07 apply (zenon_L104_); trivial. % 0.88/1.07 apply (zenon_L106_); trivial. % 0.88/1.07 (* end of lemma zenon_L107_ *) % 0.88/1.07 assert (zenon_L108_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_H9 zenon_H161 zenon_H163 zenon_H15b zenon_Hce zenon_Hca zenon_Ha3 zenon_H107 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H5 zenon_H7 zenon_Ha5 zenon_Hf5. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.88/1.07 apply (zenon_L100_); trivial. % 0.88/1.07 apply (zenon_L107_); trivial. % 0.88/1.07 (* end of lemma zenon_L108_ *) % 0.88/1.07 assert (zenon_L109_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp6)) -> (~(hskp10)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H135 zenon_Hf1 zenon_H9 zenon_Hef. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.88/1.07 apply (zenon_L81_); trivial. % 0.88/1.07 (* end of lemma zenon_L109_ *) % 0.88/1.07 assert (zenon_L110_ : (forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))) -> (ndr1_0) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H169 zenon_H12 zenon_H16a zenon_H16b zenon_H16c. % 0.88/1.07 generalize (zenon_H169 (a2303)). zenon_intro zenon_H16d. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H16d); [ zenon_intro zenon_H11 | zenon_intro zenon_H16e ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 0.88/1.07 exact (zenon_H16a zenon_H170). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ]. % 0.88/1.07 exact (zenon_H172 zenon_H16b). % 0.88/1.07 exact (zenon_H171 zenon_H16c). % 0.88/1.07 (* end of lemma zenon_L110_ *) % 0.88/1.07 assert (zenon_L111_ : ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp19)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H173 zenon_H16c zenon_H16b zenon_H16a zenon_H12 zenon_H161 zenon_H33. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H169 | zenon_intro zenon_H174 ]. % 0.88/1.07 apply (zenon_L110_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H162 | zenon_intro zenon_H34 ]. % 0.88/1.07 exact (zenon_H161 zenon_H162). % 0.88/1.07 exact (zenon_H33 zenon_H34). % 0.88/1.07 (* end of lemma zenon_L111_ *) % 0.88/1.07 assert (zenon_L112_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H138 zenon_H173 zenon_H161 zenon_H16c zenon_H16b zenon_H16a zenon_H12 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3 zenon_H71. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.88/1.07 apply (zenon_L111_); trivial. % 0.88/1.07 apply (zenon_L64_); trivial. % 0.88/1.07 apply (zenon_L109_); trivial. % 0.88/1.07 (* end of lemma zenon_L112_ *) % 0.88/1.07 assert (zenon_L113_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H175 zenon_H138 zenon_H173 zenon_H161 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3 zenon_H71. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.88/1.07 apply (zenon_L112_); trivial. % 0.88/1.07 (* end of lemma zenon_L113_ *) % 0.88/1.07 assert (zenon_L114_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H178 zenon_H173 zenon_Hed zenon_Hdc zenon_Hde zenon_H71 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_H9 zenon_H161 zenon_H163 zenon_H15b zenon_Hce zenon_Hca zenon_Ha3 zenon_H107 zenon_H87 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H5 zenon_H7 zenon_Ha5 zenon_Hf5 zenon_Hef zenon_Hf1 zenon_H138. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.88/1.07 apply (zenon_L108_); trivial. % 0.88/1.07 apply (zenon_L109_); trivial. % 0.88/1.07 apply (zenon_L113_); trivial. % 0.88/1.07 (* end of lemma zenon_L114_ *) % 0.88/1.07 assert (zenon_L115_ : (~(hskp8)) -> (hskp8) -> False). % 0.88/1.07 do 0 intro. intros zenon_H179 zenon_H17a. % 0.88/1.07 exact (zenon_H179 zenon_H17a). % 0.88/1.07 (* end of lemma zenon_L115_ *) % 0.88/1.07 assert (zenon_L116_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp8)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H17b zenon_H17c zenon_H13c zenon_H13b zenon_H13a zenon_H179. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H8b | zenon_intro zenon_H17f ]. % 0.88/1.07 apply (zenon_L82_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H139 | zenon_intro zenon_H17a ]. % 0.88/1.07 apply (zenon_L92_); trivial. % 0.88/1.07 exact (zenon_H179 zenon_H17a). % 0.88/1.07 (* end of lemma zenon_L116_ *) % 0.88/1.07 assert (zenon_L117_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H180 zenon_H138 zenon_H4e zenon_Hf9 zenon_Hce zenon_Hca zenon_H107 zenon_H87 zenon_Ha3 zenon_Ha5 zenon_Hac zenon_H112 zenon_H45 zenon_H114 zenon_H119. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.88/1.07 apply (zenon_L91_); trivial. % 0.88/1.07 (* end of lemma zenon_L117_ *) % 0.88/1.07 assert (zenon_L118_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp8)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H183 zenon_H4e zenon_Hf9 zenon_H112 zenon_H45 zenon_H114 zenon_H178 zenon_H173 zenon_Hed zenon_Hde zenon_H71 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_H9 zenon_H161 zenon_H163 zenon_H15b zenon_Hce zenon_Hca zenon_Ha3 zenon_H107 zenon_H87 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H7 zenon_Ha5 zenon_Hf5 zenon_Hef zenon_Hf1 zenon_H138 zenon_H179 zenon_H17c zenon_H184. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.88/1.07 apply (zenon_L114_); trivial. % 0.88/1.07 apply (zenon_L116_); trivial. % 0.88/1.07 apply (zenon_L117_); trivial. % 0.88/1.07 (* end of lemma zenon_L118_ *) % 0.88/1.07 assert (zenon_L119_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a2294))) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H139 zenon_H12 zenon_H185 zenon_H27 zenon_H186 zenon_H187. % 0.88/1.07 generalize (zenon_H139 (a2294)). zenon_intro zenon_H188. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H188); [ zenon_intro zenon_H11 | zenon_intro zenon_H189 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H18b | zenon_intro zenon_H18a ]. % 0.88/1.07 exact (zenon_H185 zenon_H18b). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H18d | zenon_intro zenon_H18c ]. % 0.88/1.07 generalize (zenon_H27 (a2294)). zenon_intro zenon_H18e. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H18e); [ zenon_intro zenon_H11 | zenon_intro zenon_H18f ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H191 | zenon_intro zenon_H190 ]. % 0.88/1.07 exact (zenon_H186 zenon_H191). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H18c | zenon_intro zenon_H192 ]. % 0.88/1.07 exact (zenon_H18c zenon_H187). % 0.88/1.07 exact (zenon_H192 zenon_H18d). % 0.88/1.07 exact (zenon_H18c zenon_H187). % 0.88/1.07 (* end of lemma zenon_L119_ *) % 0.88/1.07 assert (zenon_L120_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp19)) -> (~(hskp12)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(c1_1 (a2337))) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Ha7 zenon_H159 zenon_H33 zenon_H31 zenon_H185 zenon_H186 zenon_H187 zenon_H36 zenon_H144 zenon_H145 zenon_H146 zenon_H157 zenon_Hbb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H139 | zenon_intro zenon_H15a ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H27 | zenon_intro zenon_H39 ]. % 0.88/1.07 apply (zenon_L119_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 0.88/1.07 exact (zenon_H31 zenon_H32). % 0.88/1.07 exact (zenon_H33 zenon_H34). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H14e | zenon_intro zenon_Hbc ]. % 0.88/1.07 apply (zenon_L95_); trivial. % 0.88/1.07 exact (zenon_Hbb zenon_Hbc). % 0.88/1.07 (* end of lemma zenon_L120_ *) % 0.88/1.07 assert (zenon_L121_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2337))) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hac zenon_H159 zenon_Hbb zenon_H144 zenon_H145 zenon_H146 zenon_H157 zenon_H185 zenon_H186 zenon_H187 zenon_H31 zenon_H33 zenon_H36 zenon_H83 zenon_H85 zenon_H87. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.88/1.07 apply (zenon_L40_); trivial. % 0.88/1.07 apply (zenon_L120_); trivial. % 0.88/1.07 (* end of lemma zenon_L121_ *) % 0.88/1.07 assert (zenon_L122_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (c3_1 (a2345)) -> (~(c1_1 (a2345))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a2345))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp19)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H193 zenon_Hc2 zenon_Hc1 zenon_Hb2 zenon_Hc0 zenon_H12 zenon_Hd zenon_H33. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H8b | zenon_intro zenon_H194 ]. % 0.88/1.07 apply (zenon_L70_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_He | zenon_intro zenon_H34 ]. % 0.88/1.07 exact (zenon_Hd zenon_He). % 0.88/1.07 exact (zenon_H33 zenon_H34). % 0.88/1.07 (* end of lemma zenon_L122_ *) % 0.88/1.07 assert (zenon_L123_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp19)) -> (~(hskp30)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (c3_1 (a2345)) -> (~(c1_1 (a2345))) -> (~(c0_1 (a2345))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hca zenon_H33 zenon_Hd zenon_H193 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H12 zenon_Ha3. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hcd ]. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbf | zenon_intro zenon_Ha4 ]. % 0.88/1.07 apply (zenon_L51_); trivial. % 0.88/1.07 exact (zenon_Ha3 zenon_Ha4). % 0.88/1.07 (* end of lemma zenon_L123_ *) % 0.88/1.07 assert (zenon_L124_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp23)) -> (~(hskp25)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp19)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hc9 zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_H193 zenon_H33 zenon_Ha3 zenon_Hca. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.88/1.07 apply (zenon_L123_); trivial. % 0.88/1.07 apply (zenon_L13_); trivial. % 0.88/1.07 (* end of lemma zenon_L124_ *) % 0.88/1.07 assert (zenon_L125_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H119 zenon_H114 zenon_H112 zenon_H72 zenon_H47 zenon_H45 zenon_H7 zenon_H5 zenon_Hce zenon_H26 zenon_H22 zenon_H193 zenon_Ha3 zenon_Hca zenon_H87 zenon_H85 zenon_H36 zenon_H33 zenon_H31 zenon_H187 zenon_H186 zenon_H185 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H3a zenon_H15b zenon_H107 zenon_Ha5 zenon_Hf5. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.88/1.07 apply (zenon_L4_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.88/1.07 apply (zenon_L121_); trivial. % 0.88/1.07 apply (zenon_L124_); trivial. % 0.88/1.07 apply (zenon_L18_); trivial. % 0.88/1.07 apply (zenon_L23_); trivial. % 0.88/1.07 apply (zenon_L99_); trivial. % 0.88/1.07 apply (zenon_L78_); trivial. % 0.88/1.07 (* end of lemma zenon_L125_ *) % 0.88/1.07 assert (zenon_L126_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H17b zenon_Ha8 zenon_H31 zenon_H5. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H8b | zenon_intro zenon_Hab ]. % 0.88/1.07 apply (zenon_L82_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H32 | zenon_intro zenon_H6 ]. % 0.88/1.07 exact (zenon_H31 zenon_H32). % 0.88/1.07 exact (zenon_H5 zenon_H6). % 0.88/1.07 (* end of lemma zenon_L126_ *) % 0.88/1.07 assert (zenon_L127_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H183 zenon_H4e zenon_Hf9 zenon_H138 zenon_H119 zenon_H114 zenon_H112 zenon_H72 zenon_H47 zenon_H45 zenon_H7 zenon_Hce zenon_H26 zenon_H22 zenon_H193 zenon_Ha3 zenon_Hca zenon_H87 zenon_H36 zenon_H31 zenon_H187 zenon_H186 zenon_H185 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H3a zenon_H15b zenon_H107 zenon_Ha5 zenon_Hf5 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_Hde zenon_Hf3 zenon_H71 zenon_Ha8 zenon_H184. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.88/1.07 apply (zenon_L125_); trivial. % 0.88/1.07 apply (zenon_L64_); trivial. % 0.88/1.07 apply (zenon_L109_); trivial. % 0.88/1.07 apply (zenon_L126_); trivial. % 0.88/1.07 apply (zenon_L117_); trivial. % 0.88/1.07 (* end of lemma zenon_L127_ *) % 0.88/1.07 assert (zenon_L128_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp8)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H195 zenon_H183 zenon_H4e zenon_Hf9 zenon_H112 zenon_H45 zenon_H114 zenon_H178 zenon_H173 zenon_Hed zenon_Hde zenon_H71 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_H9 zenon_H161 zenon_H163 zenon_H15b zenon_Hce zenon_Hca zenon_Ha3 zenon_H107 zenon_H87 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H7 zenon_Ha5 zenon_Hf5 zenon_Hef zenon_Hf1 zenon_H138 zenon_H179 zenon_H17c zenon_H184. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.88/1.07 apply (zenon_L118_); trivial. % 0.88/1.07 (* end of lemma zenon_L128_ *) % 0.88/1.07 assert (zenon_L129_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp8)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H198 zenon_H178 zenon_H173 zenon_H167 zenon_H15f zenon_H161 zenon_H163 zenon_H179 zenon_H17c zenon_H184 zenon_Ha8 zenon_H71 zenon_Hf3 zenon_Hde zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf5 zenon_Ha5 zenon_H107 zenon_H15b zenon_H3a zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H185 zenon_H186 zenon_H187 zenon_H36 zenon_H87 zenon_Hca zenon_Ha3 zenon_H193 zenon_H22 zenon_H26 zenon_Hce zenon_H7 zenon_H45 zenon_H47 zenon_H72 zenon_H112 zenon_H114 zenon_H119 zenon_H138 zenon_Hf9 zenon_H4e zenon_H183. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.88/1.07 apply (zenon_L127_); trivial. % 0.88/1.07 apply (zenon_L128_); trivial. % 0.88/1.07 (* end of lemma zenon_L129_ *) % 0.88/1.07 assert (zenon_L130_ : (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H199 zenon_H12 zenon_H19a zenon_H19b zenon_H19c. % 0.88/1.07 generalize (zenon_H199 (a2293)). zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H19d); [ zenon_intro zenon_H11 | zenon_intro zenon_H19e ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H19f ]. % 0.88/1.07 exact (zenon_H19a zenon_H1a0). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a1 ]. % 0.88/1.07 exact (zenon_H1a2 zenon_H19b). % 0.88/1.07 exact (zenon_H1a1 zenon_H19c). % 0.88/1.07 (* end of lemma zenon_L130_ *) % 0.88/1.07 assert (zenon_L131_ : (~(hskp2)) -> (hskp2) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1a3 zenon_H1a4. % 0.88/1.07 exact (zenon_H1a3 zenon_H1a4). % 0.88/1.07 (* end of lemma zenon_L131_ *) % 0.88/1.07 assert (zenon_L132_ : ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp4)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1a5 zenon_H19c zenon_H19b zenon_H19a zenon_H12 zenon_H1a3 zenon_H45. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H199 | zenon_intro zenon_H1a6 ]. % 0.88/1.07 apply (zenon_L130_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H46 ]. % 0.88/1.07 exact (zenon_H1a3 zenon_H1a4). % 0.88/1.07 exact (zenon_H45 zenon_H46). % 0.88/1.07 (* end of lemma zenon_L132_ *) % 0.88/1.07 assert (zenon_L133_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hb2 zenon_H12 zenon_H1a7 zenon_H1a8 zenon_H1a9. % 0.88/1.07 generalize (zenon_Hb2 (a2291)). zenon_intro zenon_H1aa. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H1aa); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ab ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ]. % 0.88/1.07 exact (zenon_H1a7 zenon_H1ad). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1af | zenon_intro zenon_H1ae ]. % 0.88/1.07 exact (zenon_H1a8 zenon_H1af). % 0.88/1.07 exact (zenon_H1a9 zenon_H1ae). % 0.88/1.07 (* end of lemma zenon_L133_ *) % 0.88/1.07 assert (zenon_L134_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp3)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1b0 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H12 zenon_H1a3 zenon_H112. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1b1 ]. % 0.88/1.07 apply (zenon_L133_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H113 ]. % 0.88/1.07 exact (zenon_H1a3 zenon_H1a4). % 0.88/1.07 exact (zenon_H112 zenon_H113). % 0.88/1.07 (* end of lemma zenon_L134_ *) % 0.88/1.07 assert (zenon_L135_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp12)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H135 zenon_H1b2 zenon_Hb zenon_H31. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_He3 | zenon_intro zenon_H1b3 ]. % 0.88/1.07 apply (zenon_L80_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_Hc | zenon_intro zenon_H32 ]. % 0.88/1.07 exact (zenon_Hb zenon_Hc). % 0.88/1.07 exact (zenon_H31 zenon_H32). % 0.88/1.07 (* end of lemma zenon_L135_ *) % 0.88/1.07 assert (zenon_L136_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H17b zenon_H119 zenon_H114 zenon_H45 zenon_H112 zenon_H107. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.88/1.07 apply (zenon_L84_); trivial. % 0.88/1.07 (* end of lemma zenon_L136_ *) % 0.88/1.07 assert (zenon_L137_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp11)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H183 zenon_Hf9 zenon_H138 zenon_H1b2 zenon_H71 zenon_H6e zenon_H69 zenon_H4e zenon_H50 zenon_H3a zenon_H36 zenon_H31 zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H45 zenon_H47 zenon_H72 zenon_Hf3 zenon_Hde zenon_H7f zenon_Hac zenon_Ha8 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hbd zenon_Hbb zenon_Hca zenon_Hce zenon_Hf5 zenon_Hf1 zenon_Hef zenon_Hed zenon_Hf8 zenon_H107 zenon_H112 zenon_H114 zenon_H119 zenon_H184. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.88/1.07 apply (zenon_L66_); trivial. % 0.88/1.07 apply (zenon_L135_); trivial. % 0.88/1.07 apply (zenon_L136_); trivial. % 0.88/1.07 apply (zenon_L117_); trivial. % 0.88/1.07 (* end of lemma zenon_L137_ *) % 0.88/1.07 assert (zenon_L138_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H85 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.88/1.07 apply (zenon_L83_); trivial. % 0.88/1.07 apply (zenon_L107_); trivial. % 0.88/1.07 (* end of lemma zenon_L138_ *) % 0.88/1.07 assert (zenon_L139_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (ndr1_0) -> (~(c1_1 (a2323))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H143 zenon_H12 zenon_H109 zenon_Had zenon_H10a zenon_H10b. % 0.88/1.07 generalize (zenon_H143 (a2323)). zenon_intro zenon_H1b4. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H1b4); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b5 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H10f | zenon_intro zenon_H1b6 ]. % 0.88/1.07 exact (zenon_H109 zenon_H10f). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H110 ]. % 0.88/1.07 generalize (zenon_Had (a2323)). zenon_intro zenon_H1b8. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b9 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ba ]. % 0.88/1.07 exact (zenon_H1b7 zenon_H1bb). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H10f | zenon_intro zenon_H111 ]. % 0.88/1.07 exact (zenon_H109 zenon_H10f). % 0.88/1.07 exact (zenon_H111 zenon_H10a). % 0.88/1.07 exact (zenon_H110 zenon_H10b). % 0.88/1.07 (* end of lemma zenon_L139_ *) % 0.88/1.07 assert (zenon_L140_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a2323))) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> (c3_1 (a2278)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H157 zenon_H10b zenon_H10a zenon_Had zenon_H109 zenon_H14e zenon_H12 zenon_H9a zenon_H9b zenon_H9c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 0.88/1.07 apply (zenon_L139_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 0.88/1.07 apply (zenon_L94_); trivial. % 0.88/1.07 apply (zenon_L42_); trivial. % 0.88/1.07 (* end of lemma zenon_L140_ *) % 0.88/1.07 assert (zenon_L141_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (c3_1 (a2278)) -> (c1_1 (a2278)) -> (c0_1 (a2278)) -> (ndr1_0) -> (~(c1_1 (a2323))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H9c zenon_H9b zenon_H9a zenon_H12 zenon_H109 zenon_Had zenon_H10a zenon_H10b zenon_H157 zenon_Hbb. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H139 | zenon_intro zenon_H15a ]. % 0.88/1.07 apply (zenon_L92_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H14e | zenon_intro zenon_Hbc ]. % 0.88/1.07 apply (zenon_L140_); trivial. % 0.88/1.07 exact (zenon_Hbb zenon_Hbc). % 0.88/1.07 (* end of lemma zenon_L141_ *) % 0.88/1.07 assert (zenon_L142_ : (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a2342))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H143 zenon_H12 zenon_Hb1 zenon_H28 zenon_H2a zenon_H29. % 0.88/1.07 generalize (zenon_H143 (a2342)). zenon_intro zenon_H1bc. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H1bc); [ zenon_intro zenon_H11 | zenon_intro zenon_H1bd ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H1be | zenon_intro zenon_H2d ]. % 0.88/1.07 generalize (zenon_Hb1 (a2342)). zenon_intro zenon_H1bf. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H1bf); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c0 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H2e | zenon_intro zenon_H1c1 ]. % 0.88/1.07 exact (zenon_H28 zenon_H2e). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H2f ]. % 0.88/1.07 exact (zenon_H1c2 zenon_H1be). % 0.88/1.07 exact (zenon_H2f zenon_H2a). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.88/1.07 exact (zenon_H30 zenon_H29). % 0.88/1.07 exact (zenon_H2f zenon_H2a). % 0.88/1.07 (* end of lemma zenon_L142_ *) % 0.88/1.07 assert (zenon_L143_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c2_1 (a2342))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> (c3_1 (a2278)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H157 zenon_H29 zenon_H2a zenon_H28 zenon_Hb1 zenon_H14e zenon_H12 zenon_H9a zenon_H9b zenon_H9c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 0.88/1.07 apply (zenon_L142_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 0.88/1.07 apply (zenon_L94_); trivial. % 0.88/1.07 apply (zenon_L42_); trivial. % 0.88/1.07 (* end of lemma zenon_L143_ *) % 0.88/1.07 assert (zenon_L144_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (c3_1 (a2278)) -> (c1_1 (a2278)) -> (c0_1 (a2278)) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a2342))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H9c zenon_H9b zenon_H9a zenon_H12 zenon_Hb1 zenon_H28 zenon_H2a zenon_H29 zenon_H157 zenon_Hbb. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H139 | zenon_intro zenon_H15a ]. % 0.88/1.07 apply (zenon_L92_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H14e | zenon_intro zenon_Hbc ]. % 0.88/1.07 apply (zenon_L143_); trivial. % 0.88/1.07 exact (zenon_Hbb zenon_Hbc). % 0.88/1.07 (* end of lemma zenon_L144_ *) % 0.88/1.07 assert (zenon_L145_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(c2_1 (a2342))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Ha7 zenon_H1c3 zenon_H10b zenon_H10a zenon_H109 zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H28 zenon_H2a zenon_H29 zenon_H157 zenon_Hbb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.88/1.07 apply (zenon_L141_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.88/1.07 apply (zenon_L75_); trivial. % 0.88/1.07 apply (zenon_L144_); trivial. % 0.88/1.07 (* end of lemma zenon_L145_ *) % 0.88/1.07 assert (zenon_L146_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H3a zenon_Hac zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H10b zenon_H10a zenon_H109 zenon_Hbb zenon_H159 zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H9 zenon_H1f zenon_H22 zenon_H26. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.88/1.07 apply (zenon_L14_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.88/1.07 apply (zenon_L89_); trivial. % 0.88/1.07 apply (zenon_L145_); trivial. % 0.88/1.07 (* end of lemma zenon_L146_ *) % 0.88/1.07 assert (zenon_L147_ : (~(hskp29)) -> (hskp29) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1c5 zenon_H1c6. % 0.88/1.07 exact (zenon_H1c5 zenon_H1c6). % 0.88/1.07 (* end of lemma zenon_L147_ *) % 0.88/1.07 assert (zenon_L148_ : ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp29)) -> (~(hskp27)) -> (~(hskp3)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1c7 zenon_H1c5 zenon_H4c zenon_H112. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c8 ]. % 0.88/1.07 exact (zenon_H1c5 zenon_H1c6). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H4d | zenon_intro zenon_H113 ]. % 0.88/1.07 exact (zenon_H4c zenon_H4d). % 0.88/1.07 exact (zenon_H112 zenon_H113). % 0.88/1.07 (* end of lemma zenon_L148_ *) % 0.88/1.07 assert (zenon_L149_ : (forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c0_1 (a2309)) -> (c1_1 (a2309)) -> (c2_1 (a2309)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H14e zenon_H12 zenon_H1c9 zenon_H1ca zenon_H1cb. % 0.88/1.07 generalize (zenon_H14e (a2309)). zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H1cc); [ zenon_intro zenon_H11 | zenon_intro zenon_H1cd ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1ce ]. % 0.88/1.07 exact (zenon_H1cf zenon_H1c9). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ]. % 0.88/1.07 exact (zenon_H1d1 zenon_H1ca). % 0.88/1.07 exact (zenon_H1d0 zenon_H1cb). % 0.88/1.07 (* end of lemma zenon_L149_ *) % 0.88/1.07 assert (zenon_L150_ : ((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp1)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1d2 zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_Hbb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H12. zenon_intro zenon_H1d3. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c9. zenon_intro zenon_H1d4. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1ca. zenon_intro zenon_H1cb. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H139 | zenon_intro zenon_H15a ]. % 0.88/1.07 apply (zenon_L92_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H14e | zenon_intro zenon_Hbc ]. % 0.88/1.07 apply (zenon_L149_); trivial. % 0.88/1.07 exact (zenon_Hbb zenon_Hbc). % 0.88/1.07 (* end of lemma zenon_L150_ *) % 0.88/1.07 assert (zenon_L151_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp27)) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1d5 zenon_H159 zenon_Hbb zenon_H13c zenon_H13b zenon_H13a zenon_H4c zenon_H112 zenon_H1c7. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1d2 ]. % 0.88/1.07 apply (zenon_L148_); trivial. % 0.88/1.07 apply (zenon_L150_); trivial. % 0.88/1.07 (* end of lemma zenon_L151_ *) % 0.88/1.07 assert (zenon_L152_ : ((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H68 zenon_H1d6 zenon_H11c zenon_H11b zenon_H11a zenon_H3e zenon_H3d zenon_H3c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 0.88/1.07 apply (zenon_L80_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 0.88/1.07 apply (zenon_L20_); trivial. % 0.88/1.07 apply (zenon_L28_); trivial. % 0.88/1.07 (* end of lemma zenon_L152_ *) % 0.88/1.07 assert (zenon_L153_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H49 zenon_H6e zenon_H1d6 zenon_H11c zenon_H11b zenon_H11a zenon_H1c7 zenon_H112 zenon_H13a zenon_H13b zenon_H13c zenon_Hbb zenon_H159 zenon_H1d5. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.88/1.07 apply (zenon_L151_); trivial. % 0.88/1.07 apply (zenon_L152_); trivial. % 0.88/1.07 (* end of lemma zenon_L153_ *) % 0.88/1.07 assert (zenon_L154_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H135 zenon_H119 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_Hf9 zenon_H4e zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H1c3 zenon_Hac zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.88/1.07 apply (zenon_L83_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.88/1.07 apply (zenon_L146_); trivial. % 0.88/1.07 apply (zenon_L153_); trivial. % 0.88/1.07 (* end of lemma zenon_L154_ *) % 0.88/1.07 assert (zenon_L155_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H26 zenon_H22 zenon_Hb zenon_Hf zenon_Hf9 zenon_H4e zenon_H1c3 zenon_H3a zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.88/1.07 apply (zenon_L138_); trivial. % 0.88/1.07 apply (zenon_L154_); trivial. % 0.88/1.07 (* end of lemma zenon_L155_ *) % 0.88/1.07 assert (zenon_L156_ : (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33)))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H199 zenon_H12 zenon_H1d8 zenon_H1d9 zenon_H1da. % 0.88/1.07 generalize (zenon_H199 (a2287)). zenon_intro zenon_H1db. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H1db); [ zenon_intro zenon_H11 | zenon_intro zenon_H1dc ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1de | zenon_intro zenon_H1dd ]. % 0.88/1.07 generalize (zenon_H1d8 (a2287)). zenon_intro zenon_H1df. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H1df); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e0 ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 0.88/1.07 exact (zenon_H1e2 zenon_H1d9). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1e3 ]. % 0.88/1.07 exact (zenon_H1e4 zenon_H1da). % 0.88/1.07 exact (zenon_H1e3 zenon_H1de). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e4 ]. % 0.88/1.07 exact (zenon_H1e2 zenon_H1d9). % 0.88/1.07 exact (zenon_H1e4 zenon_H1da). % 0.88/1.07 (* end of lemma zenon_L156_ *) % 0.88/1.07 assert (zenon_L157_ : ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(c3_1 (a2316))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (~(hskp3)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1e5 zenon_H5f zenon_H5d zenon_He3 zenon_H5e zenon_H1da zenon_H1d9 zenon_H12 zenon_H199 zenon_H112. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_He9 | zenon_intro zenon_H1e6 ]. % 0.88/1.07 apply (zenon_L60_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H113 ]. % 0.88/1.07 apply (zenon_L156_); trivial. % 0.88/1.07 exact (zenon_H112 zenon_H113). % 0.88/1.07 (* end of lemma zenon_L157_ *) % 0.88/1.07 assert (zenon_L158_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2367)) -> (c1_1 (a2367)) -> (~(c0_1 (a2367))) -> (~(hskp3)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(c3_1 (a2316))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1e7 zenon_H55 zenon_H54 zenon_H53 zenon_H112 zenon_H1d9 zenon_H1da zenon_H5e zenon_He3 zenon_H5d zenon_H5f zenon_H1e5 zenon_H12 zenon_H16a zenon_H16b zenon_H16c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.88/1.07 apply (zenon_L28_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.88/1.07 apply (zenon_L157_); trivial. % 0.88/1.07 apply (zenon_L110_); trivial. % 0.88/1.07 (* end of lemma zenon_L158_ *) % 0.88/1.07 assert (zenon_L159_ : ((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp6)) -> (~(hskp10)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H68 zenon_Hf1 zenon_H16c zenon_H16b zenon_H16a zenon_H1e5 zenon_H5f zenon_H5d zenon_H5e zenon_H1da zenon_H1d9 zenon_H112 zenon_H1e7 zenon_H9 zenon_Hef. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf2 ]. % 0.88/1.07 apply (zenon_L158_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Ha | zenon_intro zenon_Hf0 ]. % 0.88/1.07 exact (zenon_H9 zenon_Ha). % 0.88/1.07 exact (zenon_Hef zenon_Hf0). % 0.88/1.07 (* end of lemma zenon_L159_ *) % 0.88/1.07 assert (zenon_L160_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H6d zenon_H6e zenon_Hf1 zenon_Hef zenon_H9 zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H16a zenon_H16b zenon_H16c zenon_H1e7 zenon_H1c7 zenon_H112 zenon_H13a zenon_H13b zenon_H13c zenon_Hbb zenon_H159 zenon_H1d5. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.88/1.07 apply (zenon_L151_); trivial. % 0.88/1.07 apply (zenon_L159_); trivial. % 0.88/1.07 (* end of lemma zenon_L160_ *) % 0.88/1.07 assert (zenon_L161_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H175 zenon_H71 zenon_H6e zenon_Hf1 zenon_Hef zenon_H9 zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H1c7 zenon_H112 zenon_H13a zenon_H13b zenon_H13c zenon_Hbb zenon_H159 zenon_H1d5 zenon_H161 zenon_H173. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.88/1.07 apply (zenon_L111_); trivial. % 0.88/1.07 apply (zenon_L160_); trivial. % 0.88/1.07 (* end of lemma zenon_L161_ *) % 0.88/1.07 assert (zenon_L162_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H17b zenon_H178 zenon_H71 zenon_Hf1 zenon_Hef zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H173 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H107 zenon_H3a zenon_H1c3 zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H22 zenon_H26 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.88/1.07 apply (zenon_L155_); trivial. % 0.88/1.07 apply (zenon_L161_); trivial. % 0.88/1.07 (* end of lemma zenon_L162_ *) % 0.88/1.07 assert (zenon_L163_ : (forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c2_1 (a2294))) -> (forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65)))))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1e9 zenon_H12 zenon_H186 zenon_H143 zenon_H185 zenon_H187. % 0.88/1.07 generalize (zenon_H1e9 (a2294)). zenon_intro zenon_H1ea. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H1ea); [ zenon_intro zenon_H11 | zenon_intro zenon_H1eb ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H191 | zenon_intro zenon_H18a ]. % 0.88/1.07 exact (zenon_H186 zenon_H191). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H18d | zenon_intro zenon_H18c ]. % 0.88/1.07 generalize (zenon_H143 (a2294)). zenon_intro zenon_H1ec. % 0.88/1.07 apply (zenon_imply_s _ _ zenon_H1ec); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ed ]. % 0.88/1.07 exact (zenon_H11 zenon_H12). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H18b | zenon_intro zenon_H190 ]. % 0.88/1.07 exact (zenon_H185 zenon_H18b). % 0.88/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H18c | zenon_intro zenon_H192 ]. % 0.88/1.07 exact (zenon_H18c zenon_H187). % 0.88/1.07 exact (zenon_H192 zenon_H18d). % 0.88/1.07 exact (zenon_H18c zenon_H187). % 0.88/1.07 (* end of lemma zenon_L163_ *) % 0.88/1.07 assert (zenon_L164_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> (c3_1 (a2278)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_H1e9 zenon_H14e zenon_H12 zenon_H9a zenon_H9b zenon_H9c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 0.88/1.07 apply (zenon_L163_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 0.88/1.07 apply (zenon_L94_); trivial. % 0.88/1.07 apply (zenon_L42_); trivial. % 0.88/1.07 (* end of lemma zenon_L164_ *) % 0.88/1.07 assert (zenon_L165_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp23)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Ha7 zenon_H1ee zenon_Hbb zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_H13a zenon_H13b zenon_H13c zenon_H159 zenon_H1f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H139 | zenon_intro zenon_H1ef ]. % 0.88/1.07 apply (zenon_L92_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H20 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H139 | zenon_intro zenon_H15a ]. % 0.88/1.07 apply (zenon_L92_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H14e | zenon_intro zenon_Hbc ]. % 0.88/1.07 apply (zenon_L164_); trivial. % 0.88/1.07 exact (zenon_Hbb zenon_Hbc). % 0.88/1.07 exact (zenon_H1f zenon_H20). % 0.88/1.07 (* end of lemma zenon_L165_ *) % 0.88/1.07 assert (zenon_L166_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp23)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (ndr1_0) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hac zenon_H1ee zenon_H1f zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_Hbb zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H12 zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.88/1.07 apply (zenon_L89_); trivial. % 0.88/1.07 apply (zenon_L165_); trivial. % 0.88/1.07 (* end of lemma zenon_L166_ *) % 0.88/1.07 assert (zenon_L167_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H135 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_H13a zenon_H13b zenon_H13c zenon_H159 zenon_Hbb zenon_H186 zenon_H185 zenon_H187 zenon_H157 zenon_H1ee zenon_Hac. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.88/1.08 apply (zenon_L166_); trivial. % 0.88/1.08 apply (zenon_L153_); trivial. % 0.88/1.08 (* end of lemma zenon_L167_ *) % 0.88/1.08 assert (zenon_L168_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4))) -> (~(hskp2)) -> (~(hskp4)) -> False). % 0.88/1.08 do 0 intro. intros zenon_H1f0 zenon_H1a5 zenon_H1a3 zenon_H45. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 0.88/1.08 apply (zenon_L132_); trivial. % 0.88/1.08 (* end of lemma zenon_L168_ *) % 0.88/1.08 assert (zenon_L169_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp4))) -> (~(hskp0)) -> (~(hskp4)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H1f3 zenon_H1f4 zenon_Ha3 zenon_H45. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1f7 ]. % 0.91/1.08 apply (zenon_L133_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H46 ]. % 0.91/1.08 exact (zenon_Ha3 zenon_Ha4). % 0.91/1.08 exact (zenon_H45 zenon_H46). % 0.91/1.08 (* end of lemma zenon_L169_ *) % 0.91/1.08 assert (zenon_L170_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp11)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H1f8 zenon_H1f4 zenon_H1f9 zenon_H1ee zenon_H193 zenon_H183 zenon_Hf9 zenon_H138 zenon_H1b2 zenon_H71 zenon_H6e zenon_H69 zenon_H50 zenon_H3a zenon_H36 zenon_Hf zenon_H9 zenon_H22 zenon_H26 zenon_H45 zenon_H47 zenon_H72 zenon_Hf3 zenon_Hde zenon_H7f zenon_Hac zenon_Ha8 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hbd zenon_Hbb zenon_Hca zenon_Hce zenon_Hf5 zenon_Hf1 zenon_Hed zenon_Hf8 zenon_H107 zenon_H112 zenon_H114 zenon_H119 zenon_H184 zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H1c3 zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H7 zenon_H159 zenon_H157 zenon_H15b zenon_H163 zenon_H161 zenon_H15f zenon_H167 zenon_H173 zenon_H178 zenon_H198 zenon_H1a3 zenon_H1a5 zenon_H1fa. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.08 apply (zenon_L137_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.08 apply (zenon_L114_); trivial. % 0.91/1.08 apply (zenon_L162_); trivial. % 0.91/1.08 apply (zenon_L117_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.08 apply (zenon_L127_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.08 apply (zenon_L108_); trivial. % 0.91/1.08 apply (zenon_L167_); trivial. % 0.91/1.08 apply (zenon_L161_); trivial. % 0.91/1.08 apply (zenon_L117_); trivial. % 0.91/1.08 apply (zenon_L168_); trivial. % 0.91/1.08 apply (zenon_L169_); trivial. % 0.91/1.08 (* end of lemma zenon_L170_ *) % 0.91/1.08 assert (zenon_L171_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a2345))) -> (~(c1_1 (a2345))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_Had zenon_H12 zenon_Hc0 zenon_Hc1 zenon_Hb2. % 0.91/1.08 generalize (zenon_Had (a2345)). zenon_intro zenon_H1fe. % 0.91/1.08 apply (zenon_imply_s _ _ zenon_H1fe); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ff ]. % 0.91/1.08 exact (zenon_H11 zenon_H12). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H200 ]. % 0.91/1.08 exact (zenon_Hc0 zenon_Hc6). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hfd ]. % 0.91/1.08 exact (zenon_Hc1 zenon_Hc8). % 0.91/1.08 apply (zenon_L69_); trivial. % 0.91/1.08 (* end of lemma zenon_L171_ *) % 0.91/1.08 assert (zenon_L172_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28)))))) -> (ndr1_0) -> (~(c2_1 (a2286))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c1_1 (a2286)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H5c zenon_H12 zenon_H201 zenon_Hb1 zenon_H202. % 0.91/1.08 generalize (zenon_H5c (a2286)). zenon_intro zenon_H203. % 0.91/1.08 apply (zenon_imply_s _ _ zenon_H203); [ zenon_intro zenon_H11 | zenon_intro zenon_H204 ]. % 0.91/1.08 exact (zenon_H11 zenon_H12). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H206 | zenon_intro zenon_H205 ]. % 0.91/1.08 exact (zenon_H201 zenon_H206). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H208 | zenon_intro zenon_H207 ]. % 0.91/1.08 generalize (zenon_Hb1 (a2286)). zenon_intro zenon_H209. % 0.91/1.08 apply (zenon_imply_s _ _ zenon_H209); [ zenon_intro zenon_H11 | zenon_intro zenon_H20a ]. % 0.91/1.08 exact (zenon_H11 zenon_H12). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H206 | zenon_intro zenon_H20b ]. % 0.91/1.08 exact (zenon_H201 zenon_H206). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H207 | zenon_intro zenon_H20c ]. % 0.91/1.08 exact (zenon_H207 zenon_H202). % 0.91/1.08 exact (zenon_H20c zenon_H208). % 0.91/1.08 exact (zenon_H207 zenon_H202). % 0.91/1.08 (* end of lemma zenon_L172_ *) % 0.91/1.08 assert (zenon_L173_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2345)) -> (~(c1_1 (a2345))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a2345))) -> (c1_1 (a2286)) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a2286))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H20d zenon_Hc2 zenon_Hc1 zenon_Hb2 zenon_Hc0 zenon_H202 zenon_Hb1 zenon_H201 zenon_H12 zenon_H33. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H8b | zenon_intro zenon_H20e ]. % 0.91/1.08 apply (zenon_L70_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H5c | zenon_intro zenon_H34 ]. % 0.91/1.08 apply (zenon_L172_); trivial. % 0.91/1.08 exact (zenon_H33 zenon_H34). % 0.91/1.08 (* end of lemma zenon_L173_ *) % 0.91/1.08 assert (zenon_L174_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a2286))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c1_1 (a2286)) -> (~(c0_1 (a2345))) -> (~(c1_1 (a2345))) -> (c3_1 (a2345)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H1b0 zenon_H33 zenon_H12 zenon_H201 zenon_Hb1 zenon_H202 zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H20d zenon_H1a3 zenon_H112. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1b1 ]. % 0.91/1.08 apply (zenon_L173_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H113 ]. % 0.91/1.08 exact (zenon_H1a3 zenon_H1a4). % 0.91/1.08 exact (zenon_H112 zenon_H113). % 0.91/1.08 (* end of lemma zenon_L174_ *) % 0.91/1.08 assert (zenon_L175_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(c0_1 (a2345))) -> (~(c1_1 (a2345))) -> (c3_1 (a2345)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H1c3 zenon_Hb2 zenon_H10b zenon_H10a zenon_H109 zenon_H1b0 zenon_H33 zenon_H12 zenon_H201 zenon_H202 zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H20d zenon_H1a3 zenon_H112. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.91/1.08 apply (zenon_L171_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.91/1.08 apply (zenon_L75_); trivial. % 0.91/1.08 apply (zenon_L174_); trivial. % 0.91/1.08 (* end of lemma zenon_L175_ *) % 0.91/1.08 assert (zenon_L176_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp19)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 0.91/1.08 do 0 intro. intros zenon_Hc9 zenon_H20d zenon_H202 zenon_H201 zenon_H33 zenon_H1b0 zenon_H109 zenon_H10a zenon_H10b zenon_H1c3 zenon_H1a3 zenon_H112. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1b1 ]. % 0.91/1.08 apply (zenon_L175_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H113 ]. % 0.91/1.08 exact (zenon_H1a3 zenon_H1a4). % 0.91/1.08 exact (zenon_H112 zenon_H113). % 0.91/1.08 (* end of lemma zenon_L176_ *) % 0.91/1.08 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H15c zenon_Hce zenon_H109 zenon_H10a zenon_H10b zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H1c3 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.91/1.08 apply (zenon_L97_); trivial. % 0.91/1.08 apply (zenon_L176_); trivial. % 0.91/1.08 (* end of lemma zenon_L177_ *) % 0.91/1.08 assert (zenon_L178_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (ndr1_0) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H15b zenon_Hce zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H1c3 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H12 zenon_H109 zenon_H10a zenon_H10b zenon_H7d zenon_H15f. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.91/1.08 apply (zenon_L101_); trivial. % 0.91/1.08 apply (zenon_L177_); trivial. % 0.91/1.08 (* end of lemma zenon_L178_ *) % 0.91/1.08 assert (zenon_L179_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H116 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H85 zenon_H87 zenon_H1c3 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_Hce zenon_H15b. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.08 apply (zenon_L178_); trivial. % 0.91/1.08 apply (zenon_L58_); trivial. % 0.91/1.08 (* end of lemma zenon_L179_ *) % 0.91/1.08 assert (zenon_L180_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H119 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H15f zenon_H1c3 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H15b zenon_Hce zenon_Hca zenon_Ha3 zenon_H107 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H5 zenon_H7 zenon_Ha5 zenon_Hf5. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.08 apply (zenon_L100_); trivial. % 0.91/1.08 apply (zenon_L179_); trivial. % 0.91/1.08 (* end of lemma zenon_L180_ *) % 0.91/1.08 assert (zenon_L181_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_H7f zenon_H76 zenon_H75 zenon_H74 zenon_H12 zenon_Hac zenon_H107 zenon_H105 zenon_Ha3 zenon_Ha5 zenon_H85 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.08 apply (zenon_L36_); trivial. % 0.91/1.08 apply (zenon_L99_); trivial. % 0.91/1.08 apply (zenon_L58_); trivial. % 0.91/1.08 (* end of lemma zenon_L181_ *) % 0.91/1.08 assert (zenon_L182_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H85 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H15b zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H159 zenon_H15f zenon_H119. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.08 apply (zenon_L181_); trivial. % 0.91/1.08 apply (zenon_L179_); trivial. % 0.91/1.08 apply (zenon_L64_); trivial. % 0.91/1.08 (* end of lemma zenon_L182_ *) % 0.91/1.08 assert (zenon_L183_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp11)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H198 zenon_H7 zenon_H159 zenon_H157 zenon_H15b zenon_H1b0 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H15f zenon_H184 zenon_H119 zenon_H114 zenon_H112 zenon_H107 zenon_Hf8 zenon_Hed zenon_Hef zenon_Hf1 zenon_Hf5 zenon_Hce zenon_Hca zenon_Hbb zenon_Hbd zenon_H87 zenon_Ha5 zenon_Ha3 zenon_Ha8 zenon_Hac zenon_H7f zenon_Hde zenon_Hf3 zenon_H72 zenon_H47 zenon_H45 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H36 zenon_H3a zenon_H50 zenon_H4e zenon_H69 zenon_H6e zenon_H71 zenon_H1b2 zenon_H138 zenon_Hf9 zenon_H183. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.08 apply (zenon_L137_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.08 apply (zenon_L180_); trivial. % 0.91/1.08 apply (zenon_L32_); trivial. % 0.91/1.08 apply (zenon_L182_); trivial. % 0.91/1.08 apply (zenon_L109_); trivial. % 0.91/1.08 apply (zenon_L136_); trivial. % 0.91/1.08 apply (zenon_L117_); trivial. % 0.91/1.08 (* end of lemma zenon_L183_ *) % 0.91/1.08 assert (zenon_L184_ : ((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp16)) -> (~(hskp21)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H68 zenon_H1d6 zenon_H85 zenon_H7d zenon_H5e zenon_H5d zenon_H5f zenon_Hed zenon_H3e zenon_H3d zenon_H3c. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 0.91/1.08 apply (zenon_L61_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 0.91/1.08 apply (zenon_L20_); trivial. % 0.91/1.08 apply (zenon_L28_); trivial. % 0.91/1.08 (* end of lemma zenon_L184_ *) % 0.91/1.08 assert (zenon_L185_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (~(hskp21)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H49 zenon_H6e zenon_H1d6 zenon_H5e zenon_H5d zenon_H5f zenon_H7d zenon_H85 zenon_Hed zenon_H1c7 zenon_H112 zenon_H13a zenon_H13b zenon_H13c zenon_Hbb zenon_H159 zenon_H1d5. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.91/1.08 apply (zenon_L151_); trivial. % 0.91/1.08 apply (zenon_L184_); trivial. % 0.91/1.08 (* end of lemma zenon_L185_ *) % 0.91/1.08 assert (zenon_L186_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H6d zenon_Hf3 zenon_H167 zenon_H165 zenon_Hac zenon_H1ee zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_Hbb zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_Hed zenon_H85 zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.91/1.08 apply (zenon_L67_); trivial. % 0.91/1.08 apply (zenon_L165_); trivial. % 0.91/1.08 apply (zenon_L185_); trivial. % 0.91/1.08 apply (zenon_L106_); trivial. % 0.91/1.08 (* end of lemma zenon_L186_ *) % 0.91/1.08 assert (zenon_L187_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H52 zenon_H12 zenon_H20f zenon_H16b zenon_H16c. % 0.91/1.08 generalize (zenon_H52 (a2303)). zenon_intro zenon_H210. % 0.91/1.08 apply (zenon_imply_s _ _ zenon_H210); [ zenon_intro zenon_H11 | zenon_intro zenon_H211 ]. % 0.91/1.08 exact (zenon_H11 zenon_H12). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H212 | zenon_intro zenon_H16f ]. % 0.91/1.08 exact (zenon_H20f zenon_H212). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ]. % 0.91/1.08 exact (zenon_H172 zenon_H16b). % 0.91/1.08 exact (zenon_H171 zenon_H16c). % 0.91/1.08 (* end of lemma zenon_L187_ *) % 0.91/1.08 assert (zenon_L188_ : (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c3_1 (a2303))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H199 zenon_H12 zenon_H16a zenon_H52 zenon_H16b zenon_H16c. % 0.91/1.08 generalize (zenon_H199 (a2303)). zenon_intro zenon_H213. % 0.91/1.08 apply (zenon_imply_s _ _ zenon_H213); [ zenon_intro zenon_H11 | zenon_intro zenon_H214 ]. % 0.91/1.08 exact (zenon_H11 zenon_H12). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H170 | zenon_intro zenon_H215 ]. % 0.91/1.08 exact (zenon_H16a zenon_H170). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H20f | zenon_intro zenon_H171 ]. % 0.91/1.08 apply (zenon_L187_); trivial. % 0.91/1.08 exact (zenon_H171 zenon_H16c). % 0.91/1.08 (* end of lemma zenon_L188_ *) % 0.91/1.08 assert (zenon_L189_ : ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (~(c3_1 (a2303))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp4)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H1a5 zenon_H16c zenon_H16b zenon_H52 zenon_H16a zenon_H12 zenon_H1a3 zenon_H45. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H199 | zenon_intro zenon_H1a6 ]. % 0.91/1.08 apply (zenon_L188_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H46 ]. % 0.91/1.08 exact (zenon_H1a3 zenon_H1a4). % 0.91/1.08 exact (zenon_H45 zenon_H46). % 0.91/1.08 (* end of lemma zenon_L189_ *) % 0.91/1.08 assert (zenon_L190_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp4)) -> (~(hskp2)) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4))) -> (~(hskp17)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H6d zenon_H69 zenon_H45 zenon_H1a3 zenon_H16a zenon_H16b zenon_H16c zenon_H1a5 zenon_H66. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H52 | zenon_intro zenon_H6c ]. % 0.91/1.08 apply (zenon_L189_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H5c | zenon_intro zenon_H67 ]. % 0.91/1.08 apply (zenon_L29_); trivial. % 0.91/1.08 exact (zenon_H66 zenon_H67). % 0.91/1.08 (* end of lemma zenon_L190_ *) % 0.91/1.08 assert (zenon_L191_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_Hf8 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H7f zenon_H119 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H15f zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H15b zenon_Hce zenon_Hca zenon_Ha3 zenon_H107 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H5 zenon_H7 zenon_Ha5 zenon_Hf5 zenon_H1a5 zenon_H45 zenon_H16c zenon_H16b zenon_H16a zenon_H69 zenon_H71. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.08 apply (zenon_L180_); trivial. % 0.91/1.08 apply (zenon_L190_); trivial. % 0.91/1.08 apply (zenon_L182_); trivial. % 0.91/1.08 (* end of lemma zenon_L191_ *) % 0.91/1.08 assert (zenon_L192_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H178 zenon_H69 zenon_H45 zenon_H1a5 zenon_H7f zenon_Hf8 zenon_H71 zenon_H167 zenon_H1ee zenon_H187 zenon_H185 zenon_H186 zenon_Hed zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_Hf5 zenon_Ha5 zenon_H7 zenon_H5 zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H107 zenon_Ha3 zenon_Hca zenon_Hce zenon_H15b zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H15f zenon_Hdc zenon_Hde zenon_Hf3 zenon_H119 zenon_H9 zenon_Hef zenon_Hf1 zenon_H138. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.08 apply (zenon_L180_); trivial. % 0.91/1.08 apply (zenon_L186_); trivial. % 0.91/1.08 apply (zenon_L109_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.08 apply (zenon_L191_); trivial. % 0.91/1.08 apply (zenon_L167_); trivial. % 0.91/1.08 (* end of lemma zenon_L192_ *) % 0.91/1.08 assert (zenon_L193_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H1f3 zenon_H1b0 zenon_H1a3 zenon_H112. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.91/1.08 apply (zenon_L134_); trivial. % 0.91/1.08 (* end of lemma zenon_L193_ *) % 0.91/1.08 assert (zenon_L194_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (c1_1 (a2286)) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a2286))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H20d zenon_H125 zenon_H124 zenon_H123 zenon_H202 zenon_Hb1 zenon_H201 zenon_H12 zenon_H33. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H8b | zenon_intro zenon_H20e ]. % 0.91/1.08 apply (zenon_L82_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H5c | zenon_intro zenon_H34 ]. % 0.91/1.08 apply (zenon_L172_); trivial. % 0.91/1.08 exact (zenon_H33 zenon_H34). % 0.91/1.08 (* end of lemma zenon_L194_ *) % 0.91/1.08 assert (zenon_L195_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2345))) -> (~(c0_1 (a2345))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H1c3 zenon_Hb2 zenon_Hc1 zenon_Hc0 zenon_H10b zenon_H10a zenon_H109 zenon_H20d zenon_H125 zenon_H124 zenon_H123 zenon_H202 zenon_H201 zenon_H12 zenon_H33. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.91/1.08 apply (zenon_L171_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.91/1.08 apply (zenon_L75_); trivial. % 0.91/1.08 apply (zenon_L194_); trivial. % 0.91/1.08 (* end of lemma zenon_L195_ *) % 0.91/1.08 assert (zenon_L196_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(c0_1 (a2345))) -> (~(c1_1 (a2345))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp28)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H216 zenon_H109 zenon_H10a zenon_H10b zenon_Hc0 zenon_Hc1 zenon_H1c3 zenon_H33 zenon_H12 zenon_H201 zenon_H202 zenon_H123 zenon_H124 zenon_H125 zenon_H20d zenon_H81. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 0.91/1.08 apply (zenon_L195_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 0.91/1.08 apply (zenon_L194_); trivial. % 0.91/1.08 exact (zenon_H81 zenon_H82). % 0.91/1.08 (* end of lemma zenon_L196_ *) % 0.91/1.08 assert (zenon_L197_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H15c zenon_Hce zenon_H1c3 zenon_H123 zenon_H124 zenon_H125 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H10b zenon_H10a zenon_H109 zenon_H216 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.91/1.08 apply (zenon_L97_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.91/1.08 apply (zenon_L196_); trivial. % 0.91/1.08 apply (zenon_L96_); trivial. % 0.91/1.08 (* end of lemma zenon_L197_ *) % 0.91/1.08 assert (zenon_L198_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H85 zenon_H87 zenon_H216 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1c3 zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.08 apply (zenon_L83_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.91/1.08 apply (zenon_L101_); trivial. % 0.91/1.08 apply (zenon_L197_); trivial. % 0.91/1.08 apply (zenon_L106_); trivial. % 0.91/1.08 (* end of lemma zenon_L198_ *) % 0.91/1.08 assert (zenon_L199_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H6d zenon_Hf3 zenon_H167 zenon_H165 zenon_Hed zenon_H85 zenon_H9 zenon_Hef zenon_Hf1. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.08 apply (zenon_L63_); trivial. % 0.91/1.08 apply (zenon_L106_); trivial. % 0.91/1.08 (* end of lemma zenon_L199_ *) % 0.91/1.08 assert (zenon_L200_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H138 zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H216 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.08 apply (zenon_L198_); trivial. % 0.91/1.08 apply (zenon_L199_); trivial. % 0.91/1.08 apply (zenon_L109_); trivial. % 0.91/1.08 (* end of lemma zenon_L200_ *) % 0.91/1.08 assert (zenon_L201_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp22)) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H15b zenon_Hce zenon_H1c3 zenon_H123 zenon_H124 zenon_H125 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H10b zenon_H10a zenon_H109 zenon_H216 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H3 zenon_H5 zenon_H7. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.91/1.08 apply (zenon_L4_); trivial. % 0.91/1.08 apply (zenon_L197_); trivial. % 0.91/1.08 (* end of lemma zenon_L201_ *) % 0.91/1.08 assert (zenon_L202_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp23)) -> (~(hskp25)) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H33 zenon_H193. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H8b | zenon_intro zenon_H194 ]. % 0.91/1.08 apply (zenon_L82_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_He | zenon_intro zenon_H34 ]. % 0.91/1.08 exact (zenon_Hd zenon_He). % 0.91/1.08 exact (zenon_H33 zenon_H34). % 0.91/1.08 apply (zenon_L13_); trivial. % 0.91/1.08 (* end of lemma zenon_L202_ *) % 0.91/1.08 assert (zenon_L203_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c2_1 (a2342))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 0.91/1.08 do 0 intro. intros zenon_Hac zenon_H1c3 zenon_H29 zenon_H2a zenon_H28 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H10b zenon_H10a zenon_H109 zenon_Hbb zenon_H159 zenon_H83 zenon_H85 zenon_H87. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.91/1.08 apply (zenon_L40_); trivial. % 0.91/1.08 apply (zenon_L145_); trivial. % 0.91/1.08 (* end of lemma zenon_L203_ *) % 0.91/1.08 assert (zenon_L204_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp1)) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (c2_1 (a2325)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H49 zenon_H1b0 zenon_Hbb zenon_H8c zenon_H8a zenon_H8d zenon_Hbd zenon_H1a3 zenon_H112. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1b1 ]. % 0.91/1.08 apply (zenon_L50_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H113 ]. % 0.91/1.08 exact (zenon_H1a3 zenon_H1a4). % 0.91/1.08 exact (zenon_H112 zenon_H113). % 0.91/1.08 (* end of lemma zenon_L204_ *) % 0.91/1.08 assert (zenon_L205_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H119 zenon_Hf5 zenon_H72 zenon_Hbd zenon_H26 zenon_H22 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H3a zenon_H7 zenon_H5 zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H85 zenon_H87 zenon_H216 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1c3 zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.08 apply (zenon_L83_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.08 apply (zenon_L201_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.08 apply (zenon_L202_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.91/1.08 apply (zenon_L203_); trivial. % 0.91/1.08 apply (zenon_L176_); trivial. % 0.91/1.08 apply (zenon_L204_); trivial. % 0.91/1.08 (* end of lemma zenon_L205_ *) % 0.91/1.08 assert (zenon_L206_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H17b zenon_H178 zenon_Hf5 zenon_H72 zenon_Hbd zenon_H26 zenon_H22 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H3a zenon_H7 zenon_H5 zenon_H1d5 zenon_H1c7 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H6e zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H15b zenon_Hce zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H87 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H138. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.08 apply (zenon_L200_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.08 apply (zenon_L205_); trivial. % 0.91/1.08 apply (zenon_L160_); trivial. % 0.91/1.08 apply (zenon_L109_); trivial. % 0.91/1.08 (* end of lemma zenon_L206_ *) % 0.91/1.08 assert (zenon_L207_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp11)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H218 zenon_H1f4 zenon_H216 zenon_H1e5 zenon_H1e7 zenon_H1fa zenon_H198 zenon_H7 zenon_H159 zenon_H157 zenon_H15b zenon_H1b0 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H15f zenon_H184 zenon_H119 zenon_H114 zenon_H112 zenon_H107 zenon_Hf8 zenon_Hed zenon_Hf1 zenon_Hf5 zenon_Hce zenon_Hca zenon_Hbb zenon_Hbd zenon_H87 zenon_Ha5 zenon_Ha3 zenon_Ha8 zenon_Hac zenon_H7f zenon_Hde zenon_Hf3 zenon_H72 zenon_H47 zenon_H45 zenon_H26 zenon_H22 zenon_H9 zenon_Hf zenon_H36 zenon_H3a zenon_H50 zenon_H69 zenon_H6e zenon_H71 zenon_H1b2 zenon_H138 zenon_Hf9 zenon_H183 zenon_H193 zenon_H17c zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_H1ee zenon_H167 zenon_H1a5 zenon_H178 zenon_H1f9 zenon_H1f8. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 0.91/1.08 apply (zenon_L183_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.08 apply (zenon_L127_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.08 apply (zenon_L192_); trivial. % 0.91/1.08 apply (zenon_L116_); trivial. % 0.91/1.08 apply (zenon_L117_); trivial. % 0.91/1.08 apply (zenon_L168_); trivial. % 0.91/1.08 apply (zenon_L193_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 0.91/1.08 apply (zenon_L183_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.08 apply (zenon_L127_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.08 apply (zenon_L192_); trivial. % 0.91/1.08 apply (zenon_L206_); trivial. % 0.91/1.08 apply (zenon_L117_); trivial. % 0.91/1.08 apply (zenon_L168_); trivial. % 0.91/1.08 apply (zenon_L169_); trivial. % 0.91/1.08 (* end of lemma zenon_L207_ *) % 0.91/1.08 assert (zenon_L208_ : (forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60)))))) -> (ndr1_0) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> False). % 0.91/1.08 do 0 intro. intros zenon_He9 zenon_H12 zenon_H21d zenon_H21e zenon_H21f. % 0.91/1.08 generalize (zenon_He9 (a2285)). zenon_intro zenon_H220. % 0.91/1.08 apply (zenon_imply_s _ _ zenon_H220); [ zenon_intro zenon_H11 | zenon_intro zenon_H221 ]. % 0.91/1.08 exact (zenon_H11 zenon_H12). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H223 | zenon_intro zenon_H222 ]. % 0.91/1.08 exact (zenon_H21d zenon_H223). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H225 | zenon_intro zenon_H224 ]. % 0.91/1.08 exact (zenon_H225 zenon_H21e). % 0.91/1.08 exact (zenon_H224 zenon_H21f). % 0.91/1.08 (* end of lemma zenon_L208_ *) % 0.91/1.08 assert (zenon_L209_ : ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp16)) -> False). % 0.91/1.08 do 0 intro. intros zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_H7d zenon_H85. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_He9 | zenon_intro zenon_Hee ]. % 0.91/1.08 apply (zenon_L208_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H7e | zenon_intro zenon_H86 ]. % 0.91/1.08 exact (zenon_H7d zenon_H7e). % 0.91/1.08 exact (zenon_H85 zenon_H86). % 0.91/1.08 (* end of lemma zenon_L209_ *) % 0.91/1.08 assert (zenon_L210_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> (ndr1_0) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> False). % 0.91/1.08 do 0 intro. intros zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_H12 zenon_H21d zenon_H21e zenon_H21f zenon_H85 zenon_Hed. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.08 apply (zenon_L209_); trivial. % 0.91/1.08 apply (zenon_L58_); trivial. % 0.91/1.08 (* end of lemma zenon_L210_ *) % 0.91/1.08 assert (zenon_L211_ : (forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (c2_1 (a2285)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H14e zenon_H12 zenon_H21e zenon_H21f zenon_H226. % 0.91/1.08 generalize (zenon_H14e (a2285)). zenon_intro zenon_H227. % 0.91/1.08 apply (zenon_imply_s _ _ zenon_H227); [ zenon_intro zenon_H11 | zenon_intro zenon_H228 ]. % 0.91/1.08 exact (zenon_H11 zenon_H12). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H225 | zenon_intro zenon_H229 ]. % 0.91/1.08 exact (zenon_H225 zenon_H21e). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H224 | zenon_intro zenon_H22a ]. % 0.91/1.08 exact (zenon_H224 zenon_H21f). % 0.91/1.08 exact (zenon_H22a zenon_H226). % 0.91/1.08 (* end of lemma zenon_L211_ *) % 0.91/1.08 assert (zenon_L212_ : (forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(c3_1 (a2285))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H1e9 zenon_H12 zenon_H14e zenon_H21e zenon_H21f zenon_H21d. % 0.91/1.08 generalize (zenon_H1e9 (a2285)). zenon_intro zenon_H22b. % 0.91/1.08 apply (zenon_imply_s _ _ zenon_H22b); [ zenon_intro zenon_H11 | zenon_intro zenon_H22c ]. % 0.91/1.08 exact (zenon_H11 zenon_H12). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H226 | zenon_intro zenon_H22d ]. % 0.91/1.08 apply (zenon_L211_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H223 | zenon_intro zenon_H225 ]. % 0.91/1.08 exact (zenon_H21d zenon_H223). % 0.91/1.08 exact (zenon_H225 zenon_H21e). % 0.91/1.08 (* end of lemma zenon_L212_ *) % 0.91/1.08 assert (zenon_L213_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2285))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H1ee zenon_H13c zenon_H13b zenon_H13a zenon_H21d zenon_H21f zenon_H21e zenon_H14e zenon_H12 zenon_H1f. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H139 | zenon_intro zenon_H1ef ]. % 0.91/1.08 apply (zenon_L92_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H20 ]. % 0.91/1.08 apply (zenon_L212_); trivial. % 0.91/1.08 exact (zenon_H1f zenon_H20). % 0.91/1.08 (* end of lemma zenon_L213_ *) % 0.91/1.08 assert (zenon_L214_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp23)) -> (ndr1_0) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(c3_1 (a2285))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp1)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H159 zenon_H1f zenon_H12 zenon_H21e zenon_H21f zenon_H21d zenon_H13a zenon_H13b zenon_H13c zenon_H1ee zenon_Hbb. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H139 | zenon_intro zenon_H15a ]. % 0.91/1.08 apply (zenon_L92_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H14e | zenon_intro zenon_Hbc ]. % 0.91/1.08 apply (zenon_L213_); trivial. % 0.91/1.08 exact (zenon_Hbb zenon_Hbc). % 0.91/1.08 (* end of lemma zenon_L214_ *) % 0.91/1.08 assert (zenon_L215_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H13a zenon_H13b zenon_H13c zenon_H1ee zenon_H159 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.08 apply (zenon_L210_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.08 apply (zenon_L214_); trivial. % 0.91/1.08 apply (zenon_L153_); trivial. % 0.91/1.08 (* end of lemma zenon_L215_ *) % 0.91/1.08 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H179 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H159 zenon_H1ee zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.08 apply (zenon_L215_); trivial. % 0.91/1.08 apply (zenon_L116_); trivial. % 0.91/1.08 (* end of lemma zenon_L216_ *) % 0.91/1.08 assert (zenon_L217_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H15c zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H185 zenon_H186 zenon_H187 zenon_H31 zenon_H33 zenon_H36 zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.91/1.08 apply (zenon_L89_); trivial. % 0.91/1.08 apply (zenon_L120_); trivial. % 0.91/1.08 (* end of lemma zenon_L217_ *) % 0.91/1.08 assert (zenon_L218_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (c2_1 (a2325)) -> (~(c0_1 (a2325))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c1_1 (a2325))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H22e zenon_H8d zenon_H8c zenon_H8b zenon_H8a zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_H1f. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H89 | zenon_intro zenon_H22f ]. % 0.91/1.08 apply (zenon_L41_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_He9 | zenon_intro zenon_H20 ]. % 0.91/1.08 apply (zenon_L208_); trivial. % 0.91/1.08 exact (zenon_H1f zenon_H20). % 0.91/1.08 (* end of lemma zenon_L218_ *) % 0.91/1.08 assert (zenon_L219_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (ndr1_0) -> (~(c1_1 (a2325))) -> (~(c0_1 (a2325))) -> (c2_1 (a2325)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(hskp23)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H107 zenon_H105 zenon_H12 zenon_H8a zenon_H8c zenon_H8d zenon_H21d zenon_H21e zenon_H21f zenon_H1f zenon_H22e. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H8b | zenon_intro zenon_H106 ]. % 0.91/1.08 apply (zenon_L218_); trivial. % 0.91/1.08 exact (zenon_H105 zenon_H106). % 0.91/1.08 (* end of lemma zenon_L219_ *) % 0.91/1.08 assert (zenon_L220_ : ((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp13)) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (~(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.91/1.08 do 0 intro. intros zenon_Hcf zenon_H72 zenon_H47 zenon_H5 zenon_H45 zenon_H22e zenon_H21f zenon_H21e zenon_H21d zenon_H105 zenon_H107. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.08 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.08 apply (zenon_L219_); trivial. % 0.91/1.08 apply (zenon_L23_); trivial. % 0.91/1.08 (* end of lemma zenon_L220_ *) % 0.91/1.08 assert (zenon_L221_ : ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> (ndr1_0) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (c1_1 (a2316)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_Hce zenon_Hca zenon_Ha3 zenon_H105 zenon_H107 zenon_Hf9 zenon_H4e zenon_H11c zenon_H11b zenon_H11a zenon_H12 zenon_H5d zenon_H5e zenon_H5f zenon_Hfb zenon_Hac. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.91/1.08 apply (zenon_L89_); trivial. % 0.91/1.08 apply (zenon_L68_); trivial. % 0.91/1.08 apply (zenon_L73_); trivial. % 0.91/1.08 (* end of lemma zenon_L221_ *) % 0.91/1.08 assert (zenon_L222_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H6d zenon_H119 zenon_H114 zenon_H45 zenon_H112 zenon_Hac zenon_Hfb zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9 zenon_H107 zenon_Ha3 zenon_Hca zenon_Hce. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.08 apply (zenon_L221_); trivial. % 0.91/1.08 apply (zenon_L78_); trivial. % 0.91/1.08 (* end of lemma zenon_L222_ *) % 0.91/1.08 assert (zenon_L223_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H195 zenon_H184 zenon_H119 zenon_H114 zenon_H45 zenon_H107 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H159 zenon_H1ee zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.08 apply (zenon_L215_); trivial. % 0.91/1.08 apply (zenon_L136_); trivial. % 0.91/1.08 (* end of lemma zenon_L223_ *) % 0.91/1.08 assert (zenon_L224_ : (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63)))))) -> (ndr1_0) -> (~(c1_1 (a2287))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H230 zenon_H12 zenon_H21c zenon_H1d9 zenon_H1da. % 0.91/1.08 generalize (zenon_H230 (a2287)). zenon_intro zenon_H231. % 0.91/1.08 apply (zenon_imply_s _ _ zenon_H231); [ zenon_intro zenon_H11 | zenon_intro zenon_H232 ]. % 0.91/1.08 exact (zenon_H11 zenon_H12). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H233 | zenon_intro zenon_H1dd ]. % 0.91/1.08 exact (zenon_H21c zenon_H233). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e4 ]. % 0.91/1.08 exact (zenon_H1e2 zenon_H1d9). % 0.91/1.08 exact (zenon_H1e4 zenon_H1da). % 0.91/1.08 (* end of lemma zenon_L224_ *) % 0.91/1.08 assert (zenon_L225_ : ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (~(hskp3)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H1da zenon_H1d9 zenon_H12 zenon_H199 zenon_H112. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_He9 | zenon_intro zenon_H1e6 ]. % 0.91/1.08 apply (zenon_L208_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H113 ]. % 0.91/1.08 apply (zenon_L156_); trivial. % 0.91/1.08 exact (zenon_H112 zenon_H113). % 0.91/1.08 (* end of lemma zenon_L225_ *) % 0.91/1.08 assert (zenon_L226_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (~(c1_1 (a2287))) -> (~(hskp3)) -> (ndr1_0) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp12)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H234 zenon_H21c zenon_H112 zenon_H12 zenon_H1d9 zenon_H1da zenon_H21d zenon_H21e zenon_H21f zenon_H1e5 zenon_H31. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H230 | zenon_intro zenon_H235 ]. % 0.91/1.08 apply (zenon_L224_); trivial. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H199 | zenon_intro zenon_H32 ]. % 0.91/1.08 apply (zenon_L225_); trivial. % 0.91/1.08 exact (zenon_H31 zenon_H32). % 0.91/1.08 (* end of lemma zenon_L226_ *) % 0.91/1.08 assert (zenon_L227_ : ((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H219 zenon_H198 zenon_H184 zenon_H119 zenon_H114 zenon_H45 zenon_H107 zenon_Hf3 zenon_Hde zenon_Hbb zenon_Hed zenon_H159 zenon_H1ee zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138 zenon_H1e5 zenon_H112 zenon_H21f zenon_H21e zenon_H21d zenon_H234. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.08 apply (zenon_L226_); trivial. % 0.91/1.08 apply (zenon_L223_); trivial. % 0.91/1.08 (* end of lemma zenon_L227_ *) % 0.91/1.08 assert (zenon_L228_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (ndr1_0) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp11)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp4))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> False). % 0.91/1.08 do 0 intro. intros zenon_H218 zenon_H1e5 zenon_H234 zenon_H1f9 zenon_Ha8 zenon_H15b zenon_Hac zenon_H157 zenon_H36 zenon_Hf9 zenon_H7 zenon_H22e zenon_H47 zenon_Hf5 zenon_Hce zenon_Hca zenon_Ha3 zenon_Hfb zenon_H71 zenon_Ha5 zenon_H87 zenon_H183 zenon_H184 zenon_H119 zenon_H114 zenon_H45 zenon_H112 zenon_H107 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H12 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H1b2 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_H1ee zenon_H159 zenon_H17c zenon_H198 zenon_H1f4 zenon_H1f8. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.08 apply (zenon_L210_); trivial. % 0.91/1.08 apply (zenon_L135_); trivial. % 0.91/1.08 apply (zenon_L136_); trivial. % 0.91/1.08 apply (zenon_L216_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.08 apply (zenon_L210_); trivial. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.91/1.08 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.91/1.08 apply (zenon_L4_); trivial. % 0.91/1.08 apply (zenon_L217_); trivial. % 0.91/1.08 apply (zenon_L220_); trivial. % 0.91/1.08 apply (zenon_L78_); trivial. % 0.91/1.08 apply (zenon_L222_); trivial. % 0.91/1.08 apply (zenon_L126_); trivial. % 0.91/1.08 apply (zenon_L117_); trivial. % 0.91/1.08 apply (zenon_L223_); trivial. % 0.91/1.08 apply (zenon_L169_); trivial. % 0.91/1.08 apply (zenon_L227_); trivial. % 0.91/1.08 (* end of lemma zenon_L228_ *) % 0.91/1.08 assert (zenon_L229_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp17)) -> False). % 0.91/1.08 do 0 intro. intros zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hdc zenon_H66. % 0.91/1.08 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H23b | zenon_intro zenon_H23a ]. % 0.91/1.08 generalize (zenon_H23b (a2282)). zenon_intro zenon_H23c. % 0.91/1.08 apply (zenon_imply_s _ _ zenon_H23c); [ zenon_intro zenon_H11 | zenon_intro zenon_H23d ]. % 0.91/1.08 exact (zenon_H11 zenon_H12). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H23f | zenon_intro zenon_H23e ]. % 0.91/1.08 exact (zenon_H239 zenon_H23f). % 0.91/1.08 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H241 | zenon_intro zenon_H240 ]. % 0.91/1.08 exact (zenon_H238 zenon_H241). % 0.91/1.08 exact (zenon_H240 zenon_H237). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H67 ]. % 0.91/1.09 exact (zenon_Hdc zenon_Hdd). % 0.91/1.09 exact (zenon_H66 zenon_H67). % 0.91/1.09 (* end of lemma zenon_L229_ *) % 0.91/1.09 assert (zenon_L230_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (ndr1_0) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> False). % 0.91/1.09 do 0 intro. intros zenon_Hf5 zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_Ha5 zenon_Ha3 zenon_H31 zenon_H5 zenon_Ha8 zenon_Hac zenon_H12 zenon_H74 zenon_H75 zenon_H76 zenon_H7d zenon_H7f. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.09 apply (zenon_L36_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.91/1.09 apply (zenon_L46_); trivial. % 0.91/1.09 apply (zenon_L103_); trivial. % 0.91/1.09 (* end of lemma zenon_L230_ *) % 0.91/1.09 assert (zenon_L231_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_Hf3 zenon_H167 zenon_H165 zenon_H7f zenon_H76 zenon_H75 zenon_H74 zenon_H12 zenon_Hac zenon_Ha8 zenon_H5 zenon_H31 zenon_Ha3 zenon_Ha5 zenon_H85 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_Hf5. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.09 apply (zenon_L230_); trivial. % 0.91/1.09 apply (zenon_L106_); trivial. % 0.91/1.09 (* end of lemma zenon_L231_ *) % 0.91/1.09 assert (zenon_L232_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H184 zenon_H138 zenon_Hf1 zenon_Hef zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H31 zenon_H5 zenon_Ha8 zenon_Hac zenon_H7f zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H71 zenon_Hde zenon_Hbb zenon_Hed zenon_H173 zenon_H178. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.09 apply (zenon_L229_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.09 apply (zenon_L231_); trivial. % 0.91/1.09 apply (zenon_L109_); trivial. % 0.91/1.09 apply (zenon_L113_); trivial. % 0.91/1.09 apply (zenon_L126_); trivial. % 0.91/1.09 (* end of lemma zenon_L232_ *) % 0.91/1.09 assert (zenon_L233_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c2_1 (a2342))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> (c3_1 (a2278)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H157 zenon_H29 zenon_H2a zenon_H28 zenon_Hb1 zenon_H12 zenon_H9a zenon_H9b zenon_H9c. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 0.91/1.09 apply (zenon_L34_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 0.91/1.09 apply (zenon_L15_); trivial. % 0.91/1.09 apply (zenon_L143_); trivial. % 0.91/1.09 (* end of lemma zenon_L233_ *) % 0.91/1.09 assert (zenon_L234_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (c2_1 (a2325)) -> (~(c1_1 (a2325))) -> (~(c0_1 (a2325))) -> (~(c2_1 (a2342))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp1)) -> False). % 0.91/1.09 do 0 intro. intros zenon_Ha7 zenon_Hbd zenon_H8d zenon_H8a zenon_H8c zenon_H28 zenon_H2a zenon_H29 zenon_H157 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_Hbb. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Had | zenon_intro zenon_Hbe ]. % 0.91/1.09 apply (zenon_L47_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 0.91/1.09 apply (zenon_L233_); trivial. % 0.91/1.09 exact (zenon_Hbb zenon_Hbc). % 0.91/1.09 (* end of lemma zenon_L234_ *) % 0.91/1.09 assert (zenon_L235_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (c2_1 (a2325)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H35 zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H8c zenon_H8a zenon_H8d zenon_H242 zenon_H157 zenon_H76 zenon_H75 zenon_H74 zenon_Hbb zenon_Hbd zenon_Hac. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.91/1.09 apply (zenon_L40_); trivial. % 0.91/1.09 apply (zenon_L234_); trivial. % 0.91/1.09 apply (zenon_L103_); trivial. % 0.91/1.09 (* end of lemma zenon_L235_ *) % 0.91/1.09 assert (zenon_L236_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (c2_1 (a2325)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H85 zenon_H8c zenon_H8a zenon_H8d zenon_H242 zenon_H157 zenon_H76 zenon_H75 zenon_H74 zenon_Hbb zenon_Hbd zenon_Hac zenon_Hf zenon_Hb zenon_H9 zenon_H1f zenon_H22 zenon_H26. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.09 apply (zenon_L14_); trivial. % 0.91/1.09 apply (zenon_L235_); trivial. % 0.91/1.09 (* end of lemma zenon_L236_ *) % 0.91/1.09 assert (zenon_L237_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (c2_1 (a2325)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp1)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H49 zenon_H244 zenon_H8c zenon_H8a zenon_H8d zenon_Hbd zenon_H12e zenon_H12d zenon_H12c zenon_Hbb. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 0.91/1.09 apply (zenon_L50_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 0.91/1.09 apply (zenon_L85_); trivial. % 0.91/1.09 exact (zenon_Hbb zenon_Hbc). % 0.91/1.09 (* end of lemma zenon_L237_ *) % 0.91/1.09 assert (zenon_L238_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_Hf4 zenon_Hf3 zenon_H167 zenon_H165 zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H85 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H12c zenon_H12d zenon_H12e zenon_H244 zenon_H72 zenon_Hf5. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.09 apply (zenon_L36_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.09 apply (zenon_L236_); trivial. % 0.91/1.09 apply (zenon_L237_); trivial. % 0.91/1.09 apply (zenon_L106_); trivial. % 0.91/1.09 (* end of lemma zenon_L238_ *) % 0.91/1.09 assert (zenon_L239_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H178 zenon_H173 zenon_Hed zenon_Hde zenon_H71 zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H12c zenon_H12d zenon_H12e zenon_H244 zenon_H72 zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_Hef zenon_Hf1 zenon_H138. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.09 apply (zenon_L229_); trivial. % 0.91/1.09 apply (zenon_L238_); trivial. % 0.91/1.09 apply (zenon_L109_); trivial. % 0.91/1.09 apply (zenon_L113_); trivial. % 0.91/1.09 (* end of lemma zenon_L239_ *) % 0.91/1.09 assert (zenon_L240_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H3a zenon_H36 zenon_H31 zenon_H193 zenon_H33 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H1f zenon_H22 zenon_H26. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.09 apply (zenon_L202_); trivial. % 0.91/1.09 apply (zenon_L18_); trivial. % 0.91/1.09 (* end of lemma zenon_L240_ *) % 0.91/1.09 assert (zenon_L241_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H246 zenon_H125 zenon_H124 zenon_H123 zenon_H12e zenon_H12d zenon_H12c zenon_H12 zenon_Hd. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H8b | zenon_intro zenon_H247 ]. % 0.91/1.09 apply (zenon_L82_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H89 | zenon_intro zenon_He ]. % 0.91/1.09 apply (zenon_L85_); trivial. % 0.91/1.09 exact (zenon_Hd zenon_He). % 0.91/1.09 (* end of lemma zenon_L241_ *) % 0.91/1.09 assert (zenon_L242_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(hskp27)) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H26 zenon_H50 zenon_H4e zenon_H4c zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.91/1.09 apply (zenon_L241_); trivial. % 0.91/1.09 apply (zenon_L26_); trivial. % 0.91/1.09 (* end of lemma zenon_L242_ *) % 0.91/1.09 assert (zenon_L243_ : (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9)))))) -> (ndr1_0) -> (~(c3_1 (a2299))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a2299))) -> (c2_1 (a2299)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H199 zenon_H12 zenon_H12d zenon_Had zenon_H12c zenon_H12e. % 0.91/1.09 generalize (zenon_H199 (a2299)). zenon_intro zenon_H248. % 0.91/1.09 apply (zenon_imply_s _ _ zenon_H248); [ zenon_intro zenon_H11 | zenon_intro zenon_H249 ]. % 0.91/1.09 exact (zenon_H11 zenon_H12). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H134 | zenon_intro zenon_H24a ]. % 0.91/1.09 exact (zenon_H12d zenon_H134). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H24b | zenon_intro zenon_H133 ]. % 0.91/1.09 generalize (zenon_Had (a2299)). zenon_intro zenon_H24c. % 0.91/1.09 apply (zenon_imply_s _ _ zenon_H24c); [ zenon_intro zenon_H11 | zenon_intro zenon_H24d ]. % 0.91/1.09 exact (zenon_H11 zenon_H12). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H24f | zenon_intro zenon_H24e ]. % 0.91/1.09 exact (zenon_H24b zenon_H24f). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H132 | zenon_intro zenon_H133 ]. % 0.91/1.09 exact (zenon_H12c zenon_H132). % 0.91/1.09 exact (zenon_H133 zenon_H12e). % 0.91/1.09 exact (zenon_H133 zenon_H12e). % 0.91/1.09 (* end of lemma zenon_L243_ *) % 0.91/1.09 assert (zenon_L244_ : (forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))) -> (ndr1_0) -> (~(c3_1 (a2282))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H169 zenon_H12 zenon_H238 zenon_Had zenon_H239 zenon_H237. % 0.91/1.09 generalize (zenon_H169 (a2282)). zenon_intro zenon_H250. % 0.91/1.09 apply (zenon_imply_s _ _ zenon_H250); [ zenon_intro zenon_H11 | zenon_intro zenon_H251 ]. % 0.91/1.09 exact (zenon_H11 zenon_H12). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H241 | zenon_intro zenon_H252 ]. % 0.91/1.09 exact (zenon_H238 zenon_H241). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H253 | zenon_intro zenon_H240 ]. % 0.91/1.09 generalize (zenon_Had (a2282)). zenon_intro zenon_H254. % 0.91/1.09 apply (zenon_imply_s _ _ zenon_H254); [ zenon_intro zenon_H11 | zenon_intro zenon_H255 ]. % 0.91/1.09 exact (zenon_H11 zenon_H12). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H23f | zenon_intro zenon_H256 ]. % 0.91/1.09 exact (zenon_H239 zenon_H23f). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H257 | zenon_intro zenon_H240 ]. % 0.91/1.09 exact (zenon_H253 zenon_H257). % 0.91/1.09 exact (zenon_H240 zenon_H237). % 0.91/1.09 exact (zenon_H240 zenon_H237). % 0.91/1.09 (* end of lemma zenon_L244_ *) % 0.91/1.09 assert (zenon_L245_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2367)) -> (c1_1 (a2367)) -> (~(c0_1 (a2367))) -> (c2_1 (a2299)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (ndr1_0) -> (~(c3_1 (a2282))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H1e7 zenon_H55 zenon_H54 zenon_H53 zenon_H12e zenon_H12c zenon_H12d zenon_H12 zenon_H238 zenon_Had zenon_H239 zenon_H237. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.91/1.09 apply (zenon_L28_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.91/1.09 apply (zenon_L243_); trivial. % 0.91/1.09 apply (zenon_L244_); trivial. % 0.91/1.09 (* end of lemma zenon_L245_ *) % 0.91/1.09 assert (zenon_L246_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H49 zenon_H6e zenon_H244 zenon_Hbb zenon_H1e7 zenon_H237 zenon_H239 zenon_H238 zenon_H109 zenon_H10a zenon_H10b zenon_H1c3 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H4e zenon_H50 zenon_H26. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.91/1.09 apply (zenon_L242_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.91/1.09 apply (zenon_L245_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.91/1.09 apply (zenon_L75_); trivial. % 0.91/1.09 apply (zenon_L48_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 0.91/1.09 apply (zenon_L85_); trivial. % 0.91/1.09 exact (zenon_Hbb zenon_Hbc). % 0.91/1.09 (* end of lemma zenon_L246_ *) % 0.91/1.09 assert (zenon_L247_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H119 zenon_H72 zenon_H6e zenon_H244 zenon_Hbb zenon_H1e7 zenon_H237 zenon_H239 zenon_H238 zenon_H1c3 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H33 zenon_H193 zenon_H31 zenon_H36 zenon_H3a zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.09 apply (zenon_L83_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.09 apply (zenon_L240_); trivial. % 0.91/1.09 apply (zenon_L246_); trivial. % 0.91/1.09 (* end of lemma zenon_L247_ *) % 0.91/1.09 assert (zenon_L248_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H6d zenon_H6e zenon_H69 zenon_H66 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H4e zenon_H50 zenon_H26. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.91/1.09 apply (zenon_L242_); trivial. % 0.91/1.09 apply (zenon_L31_); trivial. % 0.91/1.09 (* end of lemma zenon_L248_ *) % 0.91/1.09 assert (zenon_L249_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H71 zenon_H69 zenon_H66 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H3a zenon_H36 zenon_H31 zenon_H193 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H1c3 zenon_H238 zenon_H239 zenon_H237 zenon_H1e7 zenon_Hbb zenon_H244 zenon_H6e zenon_H72 zenon_H119. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.09 apply (zenon_L247_); trivial. % 0.91/1.09 apply (zenon_L248_); trivial. % 0.91/1.09 (* end of lemma zenon_L249_ *) % 0.91/1.09 assert (zenon_L250_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H165 zenon_H7f zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H85 zenon_H242 zenon_H157 zenon_Hbd zenon_Hac zenon_Hf zenon_Hb zenon_H9 zenon_Hf5 zenon_H119 zenon_H72 zenon_H6e zenon_H244 zenon_Hbb zenon_H1e7 zenon_H237 zenon_H239 zenon_H238 zenon_H1c3 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H193 zenon_H31 zenon_H36 zenon_H3a zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H69 zenon_H71. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.09 apply (zenon_L249_); trivial. % 0.91/1.09 apply (zenon_L238_); trivial. % 0.91/1.09 (* end of lemma zenon_L250_ *) % 0.91/1.09 assert (zenon_L251_ : (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H89 zenon_H12 zenon_H52 zenon_H239 zenon_H237 zenon_H238. % 0.91/1.09 generalize (zenon_H89 (a2282)). zenon_intro zenon_H258. % 0.91/1.09 apply (zenon_imply_s _ _ zenon_H258); [ zenon_intro zenon_H11 | zenon_intro zenon_H259 ]. % 0.91/1.09 exact (zenon_H11 zenon_H12). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H257 | zenon_intro zenon_H23e ]. % 0.91/1.09 generalize (zenon_H52 (a2282)). zenon_intro zenon_H25a. % 0.91/1.09 apply (zenon_imply_s _ _ zenon_H25a); [ zenon_intro zenon_H11 | zenon_intro zenon_H25b ]. % 0.91/1.09 exact (zenon_H11 zenon_H12). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H23f | zenon_intro zenon_H252 ]. % 0.91/1.09 exact (zenon_H239 zenon_H23f). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H253 | zenon_intro zenon_H240 ]. % 0.91/1.09 exact (zenon_H253 zenon_H257). % 0.91/1.09 exact (zenon_H240 zenon_H237). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H241 | zenon_intro zenon_H240 ]. % 0.91/1.09 exact (zenon_H238 zenon_H241). % 0.91/1.09 exact (zenon_H240 zenon_H237). % 0.91/1.09 (* end of lemma zenon_L251_ *) % 0.91/1.09 assert (zenon_L252_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H246 zenon_H125 zenon_H124 zenon_H123 zenon_H238 zenon_H237 zenon_H239 zenon_H52 zenon_H12 zenon_Hd. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H8b | zenon_intro zenon_H247 ]. % 0.91/1.09 apply (zenon_L82_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H89 | zenon_intro zenon_He ]. % 0.91/1.09 apply (zenon_L251_); trivial. % 0.91/1.09 exact (zenon_Hd zenon_He). % 0.91/1.09 (* end of lemma zenon_L252_ *) % 0.91/1.09 assert (zenon_L253_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp30)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c1_1 (a2316)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H69 zenon_Hd zenon_H239 zenon_H237 zenon_H238 zenon_H123 zenon_H124 zenon_H125 zenon_H246 zenon_H5f zenon_H5e zenon_H5d zenon_H12 zenon_H66. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H52 | zenon_intro zenon_H6c ]. % 0.91/1.09 apply (zenon_L252_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H5c | zenon_intro zenon_H67 ]. % 0.91/1.09 apply (zenon_L29_); trivial. % 0.91/1.09 exact (zenon_H66 zenon_H67). % 0.91/1.09 (* end of lemma zenon_L253_ *) % 0.91/1.09 assert (zenon_L254_ : (forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60)))))) -> (ndr1_0) -> (~(c3_1 (a2303))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.91/1.09 do 0 intro. intros zenon_He9 zenon_H12 zenon_H16a zenon_H52 zenon_H16b zenon_H16c. % 0.91/1.09 generalize (zenon_He9 (a2303)). zenon_intro zenon_H25c. % 0.91/1.09 apply (zenon_imply_s _ _ zenon_H25c); [ zenon_intro zenon_H11 | zenon_intro zenon_H25d ]. % 0.91/1.09 exact (zenon_H11 zenon_H12). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H170 | zenon_intro zenon_H25e ]. % 0.91/1.09 exact (zenon_H16a zenon_H170). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H20f | zenon_intro zenon_H172 ]. % 0.91/1.09 apply (zenon_L187_); trivial. % 0.91/1.09 exact (zenon_H172 zenon_H16b). % 0.91/1.09 (* end of lemma zenon_L254_ *) % 0.91/1.09 assert (zenon_L255_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a2315))) -> (c1_1 (a2315)) -> (c2_1 (a2315)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H52 zenon_H12 zenon_H25f zenon_H14 zenon_H15. % 0.91/1.09 generalize (zenon_H52 (a2315)). zenon_intro zenon_H260. % 0.91/1.09 apply (zenon_imply_s _ _ zenon_H260); [ zenon_intro zenon_H11 | zenon_intro zenon_H261 ]. % 0.91/1.09 exact (zenon_H11 zenon_H12). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H263 | zenon_intro zenon_H262 ]. % 0.91/1.09 exact (zenon_H25f zenon_H263). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1a | zenon_intro zenon_H1c ]. % 0.91/1.09 exact (zenon_H1a zenon_H14). % 0.91/1.09 exact (zenon_H1c zenon_H15). % 0.91/1.09 (* end of lemma zenon_L255_ *) % 0.91/1.09 assert (zenon_L256_ : (forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c1_1 (a2315)) -> (c2_1 (a2315)) -> (c3_1 (a2315)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H1d8 zenon_H12 zenon_H52 zenon_H14 zenon_H15 zenon_H16. % 0.91/1.09 generalize (zenon_H1d8 (a2315)). zenon_intro zenon_H264. % 0.91/1.09 apply (zenon_imply_s _ _ zenon_H264); [ zenon_intro zenon_H11 | zenon_intro zenon_H265 ]. % 0.91/1.09 exact (zenon_H11 zenon_H12). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H25f | zenon_intro zenon_H19 ]. % 0.91/1.09 apply (zenon_L255_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.91/1.09 exact (zenon_H1c zenon_H15). % 0.91/1.09 exact (zenon_H1b zenon_H16). % 0.91/1.09 (* end of lemma zenon_L256_ *) % 0.91/1.09 assert (zenon_L257_ : ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (c3_1 (a2315)) -> (c2_1 (a2315)) -> (c1_1 (a2315)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H1e5 zenon_H16c zenon_H16b zenon_H16a zenon_H16 zenon_H15 zenon_H14 zenon_H52 zenon_H12 zenon_H112. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_He9 | zenon_intro zenon_H1e6 ]. % 0.91/1.09 apply (zenon_L254_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H113 ]. % 0.91/1.09 apply (zenon_L256_); trivial. % 0.91/1.09 exact (zenon_H112 zenon_H113). % 0.91/1.09 (* end of lemma zenon_L257_ *) % 0.91/1.09 assert (zenon_L258_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp3)) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2316)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (~(hskp17)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H21 zenon_H69 zenon_H112 zenon_H16a zenon_H16b zenon_H16c zenon_H1e5 zenon_H5f zenon_H5e zenon_H5d zenon_H66. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H52 | zenon_intro zenon_H6c ]. % 0.91/1.09 apply (zenon_L257_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H5c | zenon_intro zenon_H67 ]. % 0.91/1.09 apply (zenon_L29_); trivial. % 0.91/1.09 exact (zenon_H66 zenon_H67). % 0.91/1.09 (* end of lemma zenon_L258_ *) % 0.91/1.09 assert (zenon_L259_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H6d zenon_H26 zenon_H16a zenon_H16b zenon_H16c zenon_H112 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H66 zenon_H69. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.91/1.09 apply (zenon_L253_); trivial. % 0.91/1.09 apply (zenon_L258_); trivial. % 0.91/1.09 (* end of lemma zenon_L259_ *) % 0.91/1.09 assert (zenon_L260_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (ndr1_0) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H71 zenon_H26 zenon_H112 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H66 zenon_H69 zenon_H12 zenon_H16a zenon_H16b zenon_H16c zenon_H161 zenon_H173. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.09 apply (zenon_L111_); trivial. % 0.91/1.09 apply (zenon_L259_); trivial. % 0.91/1.09 (* end of lemma zenon_L260_ *) % 0.91/1.09 assert (zenon_L261_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp23)) -> (~(hskp25)) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.91/1.09 apply (zenon_L241_); trivial. % 0.91/1.09 apply (zenon_L13_); trivial. % 0.91/1.09 (* end of lemma zenon_L261_ *) % 0.91/1.09 assert (zenon_L262_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (c2_1 (a2367)) -> (c1_1 (a2367)) -> (~(c0_1 (a2367))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp8)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H266 zenon_H55 zenon_H54 zenon_H53 zenon_H12 zenon_H1c5 zenon_H179. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H52 | zenon_intro zenon_H267 ]. % 0.91/1.09 apply (zenon_L28_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H17a ]. % 0.91/1.09 exact (zenon_H1c5 zenon_H1c6). % 0.91/1.09 exact (zenon_H179 zenon_H17a). % 0.91/1.09 (* end of lemma zenon_L262_ *) % 0.91/1.09 assert (zenon_L263_ : ((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> (~(c2_1 (a2342))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H1d2 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H2a zenon_H29 zenon_H28. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H12. zenon_intro zenon_H1d3. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c9. zenon_intro zenon_H1d4. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1ca. zenon_intro zenon_H1cb. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 0.91/1.09 apply (zenon_L34_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 0.91/1.09 apply (zenon_L15_); trivial. % 0.91/1.09 apply (zenon_L149_); trivial. % 0.91/1.09 (* end of lemma zenon_L263_ *) % 0.91/1.09 assert (zenon_L264_ : ((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> (~(c2_1 (a2342))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H68 zenon_H1d5 zenon_H242 zenon_H2a zenon_H29 zenon_H28 zenon_H76 zenon_H75 zenon_H74 zenon_H179 zenon_H266. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1d2 ]. % 0.91/1.09 apply (zenon_L262_); trivial. % 0.91/1.09 apply (zenon_L263_); trivial. % 0.91/1.09 (* end of lemma zenon_L264_ *) % 0.91/1.09 assert (zenon_L265_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H35 zenon_H6e zenon_H1d5 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H179 zenon_H266 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H4e zenon_H50 zenon_H26. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.91/1.09 apply (zenon_L242_); trivial. % 0.91/1.09 apply (zenon_L264_); trivial. % 0.91/1.09 (* end of lemma zenon_L265_ *) % 0.91/1.09 assert (zenon_L266_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H3a zenon_H6e zenon_H1d5 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H179 zenon_H266 zenon_H4e zenon_H50 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H1f zenon_H22 zenon_H26. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.09 apply (zenon_L261_); trivial. % 0.91/1.09 apply (zenon_L265_); trivial. % 0.91/1.09 (* end of lemma zenon_L266_ *) % 0.91/1.09 assert (zenon_L267_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.91/1.09 do 0 intro. intros zenon_Hf4 zenon_H119 zenon_H72 zenon_H244 zenon_Hbb zenon_H1e7 zenon_H237 zenon_H239 zenon_H238 zenon_H1c3 zenon_H26 zenon_H22 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H50 zenon_H4e zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H6e zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.09 apply (zenon_L83_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.09 apply (zenon_L266_); trivial. % 0.91/1.09 apply (zenon_L246_); trivial. % 0.91/1.09 (* end of lemma zenon_L267_ *) % 0.91/1.09 assert (zenon_L268_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H119 zenon_H72 zenon_H244 zenon_Hbb zenon_H1e7 zenon_H1c3 zenon_H22 zenon_H12c zenon_H12d zenon_H12e zenon_H50 zenon_H4e zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H6e zenon_H3a zenon_H107 zenon_H173 zenon_H161 zenon_H69 zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H1e5 zenon_H112 zenon_H26 zenon_H71. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.09 apply (zenon_L260_); trivial. % 0.91/1.09 apply (zenon_L267_); trivial. % 0.91/1.09 (* end of lemma zenon_L268_ *) % 0.91/1.09 assert (zenon_L269_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H180 zenon_H184 zenon_H266 zenon_H179 zenon_H1d5 zenon_H1e5 zenon_H112 zenon_H119 zenon_H6e zenon_H1e7 zenon_H1c3 zenon_H246 zenon_H4e zenon_H50 zenon_H193 zenon_H31 zenon_H36 zenon_H107 zenon_H69 zenon_H138 zenon_Hf1 zenon_Hef zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_H72 zenon_H244 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H7f zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H71 zenon_Hde zenon_Hed zenon_H173 zenon_H178. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.09 apply (zenon_L239_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.09 apply (zenon_L250_); trivial. % 0.91/1.09 apply (zenon_L109_); trivial. % 0.91/1.09 apply (zenon_L268_); trivial. % 0.91/1.09 (* end of lemma zenon_L269_ *) % 0.91/1.09 assert (zenon_L270_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H183 zenon_H266 zenon_H179 zenon_H1d5 zenon_H1e5 zenon_H112 zenon_H119 zenon_H6e zenon_H1e7 zenon_H1c3 zenon_H246 zenon_H4e zenon_H50 zenon_H193 zenon_H36 zenon_H107 zenon_H69 zenon_H72 zenon_H244 zenon_H26 zenon_H22 zenon_Hb zenon_Hf zenon_Hbd zenon_H157 zenon_H242 zenon_H3a zenon_H178 zenon_H173 zenon_Hed zenon_Hbb zenon_Hde zenon_H71 zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H7f zenon_Hac zenon_Ha8 zenon_H31 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hef zenon_Hf1 zenon_H138 zenon_H184. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.91/1.09 apply (zenon_L232_); trivial. % 0.91/1.09 apply (zenon_L269_); trivial. % 0.91/1.09 (* end of lemma zenon_L270_ *) % 0.91/1.09 assert (zenon_L271_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_Hf4 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H85 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H72 zenon_Hf5. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.09 apply (zenon_L36_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.09 apply (zenon_L236_); trivial. % 0.91/1.09 apply (zenon_L204_); trivial. % 0.91/1.09 apply (zenon_L58_); trivial. % 0.91/1.09 (* end of lemma zenon_L271_ *) % 0.91/1.09 assert (zenon_L272_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 0.91/1.09 do 0 intro. intros zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H85 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H72 zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.09 apply (zenon_L229_); trivial. % 0.91/1.09 apply (zenon_L271_); trivial. % 0.91/1.09 (* end of lemma zenon_L272_ *) % 0.91/1.09 assert (zenon_L273_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H138 zenon_Hf1 zenon_Hef zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_H72 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.09 apply (zenon_L272_); trivial. % 0.91/1.09 apply (zenon_L109_); trivial. % 0.91/1.09 (* end of lemma zenon_L273_ *) % 0.91/1.09 assert (zenon_L274_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H198 zenon_H17c zenon_H1a3 zenon_H1b0 zenon_H184 zenon_H138 zenon_Hf1 zenon_Hef zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_Ha5 zenon_Ha3 zenon_Ha8 zenon_Hac zenon_H7f zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H71 zenon_Hde zenon_Hbb zenon_Hed zenon_H173 zenon_H178 zenon_H3a zenon_H242 zenon_H157 zenon_Hbd zenon_Hf zenon_Hb zenon_H22 zenon_H26 zenon_H244 zenon_H72 zenon_H69 zenon_H107 zenon_H36 zenon_H193 zenon_H50 zenon_H4e zenon_H246 zenon_H1c3 zenon_H1e7 zenon_H6e zenon_H119 zenon_H112 zenon_H1e5 zenon_H1d5 zenon_H179 zenon_H266 zenon_H183. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.09 apply (zenon_L270_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.09 apply (zenon_L273_); trivial. % 0.91/1.09 apply (zenon_L116_); trivial. % 0.91/1.09 (* end of lemma zenon_L274_ *) % 0.91/1.09 assert (zenon_L275_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 0.91/1.09 do 0 intro. intros zenon_Hf8 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_Ha8 zenon_H5 zenon_H31 zenon_Ha3 zenon_Ha5 zenon_H85 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.09 apply (zenon_L229_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.09 apply (zenon_L230_); trivial. % 0.91/1.09 apply (zenon_L58_); trivial. % 0.91/1.09 (* end of lemma zenon_L275_ *) % 0.91/1.09 assert (zenon_L276_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H184 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_Ha8 zenon_H5 zenon_H31 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H4e zenon_Hf9 zenon_H138. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.09 apply (zenon_L275_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.09 apply (zenon_L229_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.09 apply (zenon_L36_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.91/1.09 apply (zenon_L89_); trivial. % 0.91/1.09 apply (zenon_L45_); trivial. % 0.91/1.09 apply (zenon_L58_); trivial. % 0.91/1.09 apply (zenon_L126_); trivial. % 0.91/1.09 (* end of lemma zenon_L276_ *) % 0.91/1.09 assert (zenon_L277_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))) -> (~(c1_1 (a2294))) -> (c3_1 (a2278)) -> (c1_1 (a2278)) -> (c0_1 (a2278)) -> (ndr1_0) -> (~(c1_1 (a2337))) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H159 zenon_H187 zenon_H186 zenon_H27 zenon_H185 zenon_H9c zenon_H9b zenon_H9a zenon_H12 zenon_H144 zenon_H145 zenon_H146 zenon_H157 zenon_Hbb. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H139 | zenon_intro zenon_H15a ]. % 0.91/1.09 apply (zenon_L119_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H14e | zenon_intro zenon_Hbc ]. % 0.91/1.09 apply (zenon_L95_); trivial. % 0.91/1.09 exact (zenon_Hbb zenon_Hbc). % 0.91/1.09 (* end of lemma zenon_L277_ *) % 0.91/1.09 assert (zenon_L278_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp1)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2337)) -> (c0_1 (a2337)) -> (~(c1_1 (a2337))) -> False). % 0.91/1.09 do 0 intro. intros zenon_Ha7 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_Hbb zenon_H185 zenon_H186 zenon_H187 zenon_H159 zenon_H157 zenon_H146 zenon_H145 zenon_H144. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 0.91/1.09 apply (zenon_L34_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 0.91/1.09 apply (zenon_L277_); trivial. % 0.91/1.09 apply (zenon_L95_); trivial. % 0.91/1.09 (* end of lemma zenon_L278_ *) % 0.91/1.09 assert (zenon_L279_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2337)) -> (c0_1 (a2337)) -> (~(c1_1 (a2337))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 0.91/1.09 do 0 intro. intros zenon_Hac zenon_H242 zenon_H185 zenon_H186 zenon_H187 zenon_H157 zenon_H146 zenon_H145 zenon_H144 zenon_Hbb zenon_H159 zenon_H76 zenon_H75 zenon_H74 zenon_H83 zenon_H85 zenon_H87. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.91/1.09 apply (zenon_L40_); trivial. % 0.91/1.09 apply (zenon_L278_); trivial. % 0.91/1.09 (* end of lemma zenon_L279_ *) % 0.91/1.09 assert (zenon_L280_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H15c zenon_H3a zenon_H36 zenon_H31 zenon_Hac zenon_H242 zenon_H185 zenon_H186 zenon_H187 zenon_H157 zenon_Hbb zenon_H159 zenon_H76 zenon_H75 zenon_H74 zenon_H85 zenon_H87 zenon_Hca zenon_Ha3 zenon_H33 zenon_H193 zenon_H1f zenon_H22 zenon_H26 zenon_Hce. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.91/1.09 apply (zenon_L279_); trivial. % 0.91/1.09 apply (zenon_L124_); trivial. % 0.91/1.09 apply (zenon_L18_); trivial. % 0.91/1.09 (* end of lemma zenon_L280_ *) % 0.91/1.09 assert (zenon_L281_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (c2_1 (a2325)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (c3_1 (a2327)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H15c zenon_Hce zenon_Hca zenon_Ha3 zenon_H8c zenon_H8a zenon_H8d zenon_H3d zenon_H3c zenon_H3e zenon_Hbd zenon_H87 zenon_H85 zenon_H74 zenon_H75 zenon_H76 zenon_H159 zenon_Hbb zenon_H157 zenon_H187 zenon_H186 zenon_H185 zenon_H242 zenon_Hac. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.91/1.09 apply (zenon_L279_); trivial. % 0.91/1.09 apply (zenon_L52_); trivial. % 0.91/1.09 (* end of lemma zenon_L281_ *) % 0.91/1.09 assert (zenon_L282_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (c2_1 (a2325)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H49 zenon_H15b zenon_Hce zenon_Hca zenon_Ha3 zenon_H8c zenon_H8a zenon_H8d zenon_Hbd zenon_H87 zenon_H85 zenon_H74 zenon_H75 zenon_H76 zenon_H159 zenon_Hbb zenon_H157 zenon_H187 zenon_H186 zenon_H185 zenon_H242 zenon_Hac zenon_H109 zenon_H10a zenon_H10b zenon_H7d zenon_H15f. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.91/1.09 apply (zenon_L101_); trivial. % 0.91/1.09 apply (zenon_L281_); trivial. % 0.91/1.09 (* end of lemma zenon_L282_ *) % 0.91/1.09 assert (zenon_L283_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (ndr1_0) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H119 zenon_H15b zenon_H3a zenon_H36 zenon_H31 zenon_H242 zenon_H185 zenon_H186 zenon_H187 zenon_H157 zenon_H159 zenon_H33 zenon_H193 zenon_H22 zenon_H26 zenon_H15f zenon_Hbd zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_H85 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H12 zenon_H74 zenon_H75 zenon_H76 zenon_H7f zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.09 apply (zenon_L181_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.09 apply (zenon_L36_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.91/1.09 apply (zenon_L101_); trivial. % 0.91/1.09 apply (zenon_L280_); trivial. % 0.91/1.09 apply (zenon_L282_); trivial. % 0.91/1.09 apply (zenon_L58_); trivial. % 0.91/1.09 (* end of lemma zenon_L283_ *) % 0.91/1.09 assert (zenon_L284_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2345)) -> (~(c1_1 (a2345))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a2345))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H246 zenon_Hc2 zenon_Hc1 zenon_Hb2 zenon_Hc0 zenon_H12e zenon_H12d zenon_H12c zenon_H12 zenon_Hd. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H8b | zenon_intro zenon_H247 ]. % 0.91/1.09 apply (zenon_L70_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H89 | zenon_intro zenon_He ]. % 0.91/1.09 apply (zenon_L85_); trivial. % 0.91/1.09 exact (zenon_Hd zenon_He). % 0.91/1.09 (* end of lemma zenon_L284_ *) % 0.91/1.09 assert (zenon_L285_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp30)) -> (ndr1_0) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> (~(c0_1 (a2345))) -> (~(c1_1 (a2345))) -> (c3_1 (a2345)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H1b0 zenon_Hd zenon_H12 zenon_H12c zenon_H12d zenon_H12e zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H246 zenon_H1a3 zenon_H112. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1b1 ]. % 0.91/1.09 apply (zenon_L284_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H113 ]. % 0.91/1.09 exact (zenon_H1a3 zenon_H1a4). % 0.91/1.09 exact (zenon_H112 zenon_H113). % 0.91/1.09 (* end of lemma zenon_L285_ *) % 0.91/1.09 assert (zenon_L286_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp23)) -> (~(hskp25)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> False). % 0.91/1.09 do 0 intro. intros zenon_Hc9 zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H1a3 zenon_H112 zenon_H1b0. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.91/1.09 apply (zenon_L285_); trivial. % 0.91/1.09 apply (zenon_L13_); trivial. % 0.91/1.09 (* end of lemma zenon_L286_ *) % 0.91/1.09 assert (zenon_L287_ : ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp23)) -> (~(hskp25)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2337))) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_Hce zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H85 zenon_H74 zenon_H75 zenon_H76 zenon_H159 zenon_Hbb zenon_H144 zenon_H145 zenon_H146 zenon_H157 zenon_H187 zenon_H186 zenon_H185 zenon_H242 zenon_Hac. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.91/1.09 apply (zenon_L279_); trivial. % 0.91/1.09 apply (zenon_L286_); trivial. % 0.91/1.09 (* end of lemma zenon_L287_ *) % 0.91/1.09 assert (zenon_L288_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> (~(c2_1 (a2342))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp27)) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H1d5 zenon_H242 zenon_H2a zenon_H29 zenon_H28 zenon_H76 zenon_H75 zenon_H74 zenon_H4c zenon_H112 zenon_H1c7. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1d2 ]. % 0.91/1.09 apply (zenon_L148_); trivial. % 0.91/1.09 apply (zenon_L263_); trivial. % 0.91/1.09 (* end of lemma zenon_L288_ *) % 0.91/1.09 assert (zenon_L289_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H35 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H1d5. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.91/1.09 apply (zenon_L288_); trivial. % 0.91/1.09 apply (zenon_L264_); trivial. % 0.91/1.09 (* end of lemma zenon_L289_ *) % 0.91/1.09 assert (zenon_L290_ : (forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H14e zenon_H12 zenon_H52 zenon_H16b zenon_H16c. % 0.91/1.09 generalize (zenon_H14e (a2303)). zenon_intro zenon_H268. % 0.91/1.09 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_H11 | zenon_intro zenon_H269 ]. % 0.91/1.09 exact (zenon_H11 zenon_H12). % 0.91/1.09 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H20f | zenon_intro zenon_H16f ]. % 0.91/1.09 apply (zenon_L187_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ]. % 0.91/1.09 exact (zenon_H172 zenon_H16b). % 0.91/1.09 exact (zenon_H171 zenon_H16c). % 0.91/1.09 (* end of lemma zenon_L290_ *) % 0.91/1.09 assert (zenon_L291_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> (~(c2_1 (a2342))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.91/1.09 do 0 intro. intros zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H2a zenon_H29 zenon_H28 zenon_H12 zenon_H52 zenon_H16b zenon_H16c. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 0.91/1.09 apply (zenon_L34_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 0.91/1.09 apply (zenon_L15_); trivial. % 0.91/1.09 apply (zenon_L290_); trivial. % 0.91/1.09 (* end of lemma zenon_L291_ *) % 0.91/1.09 assert (zenon_L292_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H35 zenon_H1d5 zenon_H242 zenon_H16c zenon_H16b zenon_H76 zenon_H75 zenon_H74 zenon_H179 zenon_H266. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1d2 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H52 | zenon_intro zenon_H267 ]. % 0.91/1.09 apply (zenon_L291_); trivial. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H17a ]. % 0.91/1.09 exact (zenon_H1c5 zenon_H1c6). % 0.91/1.09 exact (zenon_H179 zenon_H17a). % 0.91/1.09 apply (zenon_L263_); trivial. % 0.91/1.09 (* end of lemma zenon_L292_ *) % 0.91/1.09 assert (zenon_L293_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.09 do 0 intro. intros zenon_H178 zenon_Hf8 zenon_H71 zenon_H167 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H1d5 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hfb zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_Hbd zenon_H15f zenon_H26 zenon_H22 zenon_H193 zenon_H159 zenon_H157 zenon_H187 zenon_H186 zenon_H185 zenon_H242 zenon_H31 zenon_H36 zenon_H3a zenon_H15b zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.09 apply (zenon_L229_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.09 apply (zenon_L283_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.09 apply (zenon_L74_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.91/1.09 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.09 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.09 apply (zenon_L36_); trivial. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.09 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.09 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.91/1.10 apply (zenon_L101_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.10 apply (zenon_L287_); trivial. % 0.91/1.10 apply (zenon_L289_); trivial. % 0.91/1.10 apply (zenon_L282_); trivial. % 0.91/1.10 apply (zenon_L106_); trivial. % 0.91/1.10 apply (zenon_L90_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.10 apply (zenon_L229_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.10 apply (zenon_L283_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.10 apply (zenon_L74_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.10 apply (zenon_L36_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.91/1.10 apply (zenon_L101_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.10 apply (zenon_L287_); trivial. % 0.91/1.10 apply (zenon_L292_); trivial. % 0.91/1.10 apply (zenon_L204_); trivial. % 0.91/1.10 apply (zenon_L58_); trivial. % 0.91/1.10 apply (zenon_L90_); trivial. % 0.91/1.10 (* end of lemma zenon_L293_ *) % 0.91/1.10 assert (zenon_L294_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H17b zenon_Hf8 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H119 zenon_H72 zenon_H6e zenon_H244 zenon_Hbb zenon_H1e7 zenon_H237 zenon_H239 zenon_H238 zenon_H1c3 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H193 zenon_H31 zenon_H36 zenon_H3a zenon_H107 zenon_H69 zenon_H71. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.10 apply (zenon_L249_); trivial. % 0.91/1.10 apply (zenon_L267_); trivial. % 0.91/1.10 (* end of lemma zenon_L294_ *) % 0.91/1.10 assert (zenon_L295_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H180 zenon_H184 zenon_H244 zenon_H1e7 zenon_H1c3 zenon_H50 zenon_H69 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H119 zenon_H15b zenon_H3a zenon_H36 zenon_H31 zenon_H242 zenon_H185 zenon_H186 zenon_H187 zenon_H157 zenon_H159 zenon_H193 zenon_H22 zenon_H26 zenon_H15f zenon_Hbd zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hfb zenon_Hed zenon_H4e zenon_Hf9 zenon_H246 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H1d5 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H167 zenon_H71 zenon_Hf8 zenon_H178. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.10 apply (zenon_L293_); trivial. % 0.91/1.10 apply (zenon_L294_); trivial. % 0.91/1.10 (* end of lemma zenon_L295_ *) % 0.91/1.10 assert (zenon_L296_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H183 zenon_H244 zenon_H1e7 zenon_H1c3 zenon_H50 zenon_H69 zenon_H119 zenon_H15b zenon_H3a zenon_H36 zenon_H242 zenon_H185 zenon_H186 zenon_H187 zenon_H157 zenon_H159 zenon_H193 zenon_H22 zenon_H26 zenon_H15f zenon_Hbd zenon_H72 zenon_Hca zenon_H107 zenon_Hfb zenon_Hed zenon_H246 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H1d5 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H167 zenon_H71 zenon_H178 zenon_H138 zenon_Hf9 zenon_H4e zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H31 zenon_Ha8 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H184. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.91/1.10 apply (zenon_L276_); trivial. % 0.91/1.10 apply (zenon_L295_); trivial. % 0.91/1.10 (* end of lemma zenon_L296_ *) % 0.91/1.10 assert (zenon_L297_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp23)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 0.91/1.10 do 0 intro. intros zenon_Hac zenon_H1ee zenon_H1f zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_Hbb zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H83 zenon_H85 zenon_H87. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.91/1.10 apply (zenon_L40_); trivial. % 0.91/1.10 apply (zenon_L165_); trivial. % 0.91/1.10 (* end of lemma zenon_L297_ *) % 0.91/1.10 assert (zenon_L298_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp19)) -> (~(hskp30)) -> (ndr1_0) -> (~(c0_1 (a2345))) -> (~(c1_1 (a2345))) -> (c3_1 (a2345)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 0.91/1.10 do 0 intro. intros zenon_H1b0 zenon_H33 zenon_Hd zenon_H12 zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H193 zenon_H1a3 zenon_H112. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1b1 ]. % 0.91/1.10 apply (zenon_L122_); trivial. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H113 ]. % 0.91/1.10 exact (zenon_H1a3 zenon_H1a4). % 0.91/1.10 exact (zenon_H112 zenon_H113). % 0.91/1.10 (* end of lemma zenon_L298_ *) % 0.91/1.10 assert (zenon_L299_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp23)) -> (~(hskp25)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp19)) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> False). % 0.91/1.10 do 0 intro. intros zenon_Hc9 zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_H193 zenon_H33 zenon_H1a3 zenon_H112 zenon_H1b0. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.91/1.10 apply (zenon_L298_); trivial. % 0.91/1.10 apply (zenon_L13_); trivial. % 0.91/1.10 (* end of lemma zenon_L299_ *) % 0.91/1.10 assert (zenon_L300_ : ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp25)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp19)) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp23)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_Hce zenon_H26 zenon_H22 zenon_H1d zenon_H193 zenon_H33 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H159 zenon_Hbb zenon_H186 zenon_H185 zenon_H187 zenon_H157 zenon_H1f zenon_H1ee zenon_Hac. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.91/1.10 apply (zenon_L297_); trivial. % 0.91/1.10 apply (zenon_L299_); trivial. % 0.91/1.10 (* end of lemma zenon_L300_ *) % 0.91/1.10 assert (zenon_L301_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_H167 zenon_H165 zenon_Hed zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_Hf5 zenon_H72 zenon_Hce zenon_H26 zenon_H22 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H159 zenon_Hbb zenon_H186 zenon_H185 zenon_H187 zenon_H157 zenon_H1ee zenon_Hac zenon_Hbd zenon_H242 zenon_H9 zenon_H161 zenon_H163 zenon_H3a zenon_H7f zenon_Hdc zenon_Hde zenon_Hf3. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.10 apply (zenon_L36_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.10 apply (zenon_L300_); trivial. % 0.91/1.10 apply (zenon_L235_); trivial. % 0.91/1.10 apply (zenon_L204_); trivial. % 0.91/1.10 apply (zenon_L58_); trivial. % 0.91/1.10 apply (zenon_L186_); trivial. % 0.91/1.10 (* end of lemma zenon_L301_ *) % 0.91/1.10 assert (zenon_L302_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H138 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_H163 zenon_H161 zenon_H9 zenon_H242 zenon_Hbd zenon_Hac zenon_H1ee zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_Hbb zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H22 zenon_H26 zenon_Hce zenon_H72 zenon_Hf5 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H165 zenon_H167 zenon_H71 zenon_Hf8. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.10 apply (zenon_L229_); trivial. % 0.91/1.10 apply (zenon_L301_); trivial. % 0.91/1.10 apply (zenon_L167_); trivial. % 0.91/1.10 (* end of lemma zenon_L302_ *) % 0.91/1.10 assert (zenon_L303_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H178 zenon_H173 zenon_Hf1 zenon_Hef zenon_Hf8 zenon_H71 zenon_H167 zenon_Hed zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_Hf5 zenon_H72 zenon_Hce zenon_H26 zenon_H22 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H13a zenon_H13b zenon_H13c zenon_H159 zenon_Hbb zenon_H186 zenon_H185 zenon_H187 zenon_H157 zenon_H1ee zenon_Hac zenon_Hbd zenon_H242 zenon_H9 zenon_H161 zenon_H163 zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.10 apply (zenon_L302_); trivial. % 0.91/1.10 apply (zenon_L113_); trivial. % 0.91/1.10 (* end of lemma zenon_L303_ *) % 0.91/1.10 assert (zenon_L304_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H179 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_H163 zenon_H161 zenon_H9 zenon_H242 zenon_Hbd zenon_Hac zenon_H1ee zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_Hbb zenon_H159 zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H22 zenon_H26 zenon_Hce zenon_H72 zenon_Hf5 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H167 zenon_H71 zenon_Hf8 zenon_Hef zenon_Hf1 zenon_H173 zenon_H178. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.10 apply (zenon_L303_); trivial. % 0.91/1.10 apply (zenon_L116_); trivial. % 0.91/1.10 (* end of lemma zenon_L304_ *) % 0.91/1.10 assert (zenon_L305_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> False). % 0.91/1.10 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_H1b0 zenon_H1a3 zenon_Hbb zenon_Hbd zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_H12 zenon_H74 zenon_H75 zenon_H76 zenon_H7d zenon_H7f. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.10 apply (zenon_L36_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.10 apply (zenon_L14_); trivial. % 0.91/1.10 apply (zenon_L289_); trivial. % 0.91/1.10 apply (zenon_L204_); trivial. % 0.91/1.10 (* end of lemma zenon_L305_ *) % 0.91/1.10 assert (zenon_L306_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H180 zenon_H184 zenon_H119 zenon_H244 zenon_H1e7 zenon_H1c3 zenon_H246 zenon_H4e zenon_H50 zenon_H193 zenon_H31 zenon_H36 zenon_H107 zenon_H69 zenon_H71 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_H72 zenon_H1b0 zenon_H1a3 zenon_Hbb zenon_Hbd zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.10 apply (zenon_L229_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.10 apply (zenon_L305_); trivial. % 0.91/1.10 apply (zenon_L58_); trivial. % 0.91/1.10 apply (zenon_L294_); trivial. % 0.91/1.10 (* end of lemma zenon_L306_ *) % 0.91/1.10 assert (zenon_L307_ : ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp16)) -> False). % 0.91/1.10 do 0 intro. intros zenon_H26a zenon_H19c zenon_H19b zenon_H19a zenon_H12 zenon_Hd zenon_H85. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H199 | zenon_intro zenon_H26b ]. % 0.91/1.10 apply (zenon_L130_); trivial. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_He | zenon_intro zenon_H86 ]. % 0.91/1.10 exact (zenon_Hd zenon_He). % 0.91/1.10 exact (zenon_H85 zenon_H86). % 0.91/1.10 (* end of lemma zenon_L307_ *) % 0.91/1.10 assert (zenon_L308_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (c1_1 (a2315)) -> (c2_1 (a2315)) -> (c3_1 (a2315)) -> False). % 0.91/1.10 do 0 intro. intros zenon_H8b zenon_H12 zenon_H14e zenon_H14 zenon_H15 zenon_H16. % 0.91/1.10 generalize (zenon_H8b (a2315)). zenon_intro zenon_H26c. % 0.91/1.10 apply (zenon_imply_s _ _ zenon_H26c); [ zenon_intro zenon_H11 | zenon_intro zenon_H26d ]. % 0.91/1.10 exact (zenon_H11 zenon_H12). % 0.91/1.10 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H263 | zenon_intro zenon_H19 ]. % 0.91/1.10 generalize (zenon_H14e (a2315)). zenon_intro zenon_H26e. % 0.91/1.10 apply (zenon_imply_s _ _ zenon_H26e); [ zenon_intro zenon_H11 | zenon_intro zenon_H26f ]. % 0.91/1.10 exact (zenon_H11 zenon_H12). % 0.91/1.10 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H25f | zenon_intro zenon_H262 ]. % 0.91/1.10 exact (zenon_H25f zenon_H263). % 0.91/1.10 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H1a | zenon_intro zenon_H1c ]. % 0.91/1.10 exact (zenon_H1a zenon_H14). % 0.91/1.10 exact (zenon_H1c zenon_H15). % 0.91/1.10 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.91/1.10 exact (zenon_H1c zenon_H15). % 0.91/1.10 exact (zenon_H1b zenon_H16). % 0.91/1.10 (* end of lemma zenon_L308_ *) % 0.91/1.10 assert (zenon_L309_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> (~(c2_1 (a2342))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (c1_1 (a2315)) -> (c2_1 (a2315)) -> (c3_1 (a2315)) -> False). % 0.91/1.10 do 0 intro. intros zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H2a zenon_H29 zenon_H28 zenon_H8b zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 0.91/1.10 apply (zenon_L34_); trivial. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 0.91/1.10 apply (zenon_L15_); trivial. % 0.91/1.10 apply (zenon_L308_); trivial. % 0.91/1.10 (* end of lemma zenon_L309_ *) % 0.91/1.10 assert (zenon_L310_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2342))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H21 zenon_H107 zenon_H105 zenon_H74 zenon_H75 zenon_H76 zenon_H28 zenon_H29 zenon_H2a zenon_H242. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H8b | zenon_intro zenon_H106 ]. % 0.91/1.10 apply (zenon_L309_); trivial. % 0.91/1.10 exact (zenon_H105 zenon_H106). % 0.91/1.10 (* end of lemma zenon_L310_ *) % 0.91/1.10 assert (zenon_L311_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H35 zenon_H26 zenon_H107 zenon_H105 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H19a zenon_H19b zenon_H19c zenon_H85 zenon_H26a. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.91/1.10 apply (zenon_L307_); trivial. % 0.91/1.10 apply (zenon_L310_); trivial. % 0.91/1.10 (* end of lemma zenon_L311_ *) % 0.91/1.10 assert (zenon_L312_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H3a zenon_H107 zenon_H105 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H19a zenon_H19b zenon_H19c zenon_H85 zenon_H26a zenon_Hf zenon_Hb zenon_H9 zenon_H1f zenon_H22 zenon_H26. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.10 apply (zenon_L14_); trivial. % 0.91/1.10 apply (zenon_L311_); trivial. % 0.91/1.10 (* end of lemma zenon_L312_ *) % 0.91/1.10 assert (zenon_L313_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 0.91/1.10 do 0 intro. intros zenon_Hf8 zenon_H119 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H159 zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf5 zenon_H72 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_Hbb zenon_Hbd zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H26a zenon_H85 zenon_H19c zenon_H19b zenon_H19a zenon_H242 zenon_H107 zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.10 apply (zenon_L229_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.10 apply (zenon_L36_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.10 apply (zenon_L312_); trivial. % 0.91/1.10 apply (zenon_L204_); trivial. % 0.91/1.10 apply (zenon_L58_); trivial. % 0.91/1.10 apply (zenon_L107_); trivial. % 0.91/1.10 (* end of lemma zenon_L313_ *) % 0.91/1.10 assert (zenon_L314_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c2_1 (a2325)) -> (~(c1_1 (a2325))) -> (~(c0_1 (a2325))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H35 zenon_Hac zenon_Hbd zenon_Hbb zenon_H74 zenon_H75 zenon_H76 zenon_H157 zenon_H242 zenon_H8d zenon_H8a zenon_H8c zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.91/1.10 apply (zenon_L89_); trivial. % 0.91/1.10 apply (zenon_L234_); trivial. % 0.91/1.10 (* end of lemma zenon_L314_ *) % 0.91/1.10 assert (zenon_L315_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c2_1 (a2325)) -> (~(c1_1 (a2325))) -> (~(c0_1 (a2325))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H3a zenon_Hac zenon_Hbd zenon_Hbb zenon_H74 zenon_H75 zenon_H76 zenon_H157 zenon_H242 zenon_H8d zenon_H8a zenon_H8c zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H9 zenon_H1f zenon_H22 zenon_H26. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.10 apply (zenon_L14_); trivial. % 0.91/1.10 apply (zenon_L314_); trivial. % 0.91/1.10 (* end of lemma zenon_L315_ *) % 0.91/1.10 assert (zenon_L316_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_Hf4 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H7f zenon_H3a zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H1d5 zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_Hf5. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.10 apply (zenon_L36_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.10 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.10 apply (zenon_L315_); trivial. % 0.91/1.10 apply (zenon_L153_); trivial. % 0.91/1.10 apply (zenon_L58_); trivial. % 0.91/1.10 (* end of lemma zenon_L316_ *) % 0.91/1.10 assert (zenon_L317_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H1d5 zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.10 apply (zenon_L229_); trivial. % 0.91/1.10 apply (zenon_L316_); trivial. % 0.91/1.10 (* end of lemma zenon_L317_ *) % 0.91/1.10 assert (zenon_L318_ : ((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.91/1.10 do 0 intro. intros zenon_H68 zenon_H1e7 zenon_H19c zenon_H19b zenon_H19a zenon_H16a zenon_H16b zenon_H16c. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.91/1.10 apply (zenon_L28_); trivial. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.91/1.10 apply (zenon_L130_); trivial. % 0.91/1.10 apply (zenon_L110_); trivial. % 0.91/1.10 (* end of lemma zenon_L318_ *) % 0.91/1.10 assert (zenon_L319_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H175 zenon_H6e zenon_H1e7 zenon_H19c zenon_H19b zenon_H19a zenon_H1c7 zenon_H112 zenon_H13a zenon_H13b zenon_H13c zenon_Hbb zenon_H159 zenon_H1d5. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.91/1.10 apply (zenon_L151_); trivial. % 0.91/1.10 apply (zenon_L318_); trivial. % 0.91/1.10 (* end of lemma zenon_L319_ *) % 0.91/1.10 assert (zenon_L320_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_Hf8 zenon_H119 zenon_H167 zenon_H15f zenon_Hac zenon_H159 zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf5 zenon_H72 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_Hbb zenon_Hbd zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H26a zenon_H19c zenon_H19b zenon_H19a zenon_H242 zenon_H107 zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_H138. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.10 apply (zenon_L313_); trivial. % 0.91/1.10 apply (zenon_L317_); trivial. % 0.91/1.10 apply (zenon_L319_); trivial. % 0.91/1.10 (* end of lemma zenon_L320_ *) % 0.91/1.10 assert (zenon_L321_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H17b zenon_H178 zenon_H1e7 zenon_H19c zenon_H19b zenon_H19a zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H107 zenon_H3a zenon_H1c3 zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H22 zenon_H26 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.10 apply (zenon_L155_); trivial. % 0.91/1.10 apply (zenon_L319_); trivial. % 0.91/1.10 (* end of lemma zenon_L321_ *) % 0.91/1.10 assert (zenon_L322_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H195 zenon_H184 zenon_H1c3 zenon_H138 zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_H107 zenon_H242 zenon_H19a zenon_H19b zenon_H19c zenon_H26a zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_Hbd zenon_Hbb zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H72 zenon_Hf5 zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H157 zenon_H159 zenon_Hac zenon_H15f zenon_H167 zenon_H119 zenon_Hf8 zenon_H1e7 zenon_H178. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.10 apply (zenon_L320_); trivial. % 0.91/1.10 apply (zenon_L321_); trivial. % 0.91/1.10 (* end of lemma zenon_L322_ *) % 0.91/1.10 assert (zenon_L323_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_H186 zenon_H185 zenon_H187 zenon_H1ee zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.10 apply (zenon_L138_); trivial. % 0.91/1.10 apply (zenon_L167_); trivial. % 0.91/1.10 (* end of lemma zenon_L323_ *) % 0.91/1.10 assert (zenon_L324_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp30)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (ndr1_0) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.91/1.10 do 0 intro. intros zenon_H1e7 zenon_Hd zenon_H239 zenon_H237 zenon_H238 zenon_H123 zenon_H124 zenon_H125 zenon_H246 zenon_H19c zenon_H19b zenon_H19a zenon_H12 zenon_H16a zenon_H16b zenon_H16c. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.91/1.10 apply (zenon_L252_); trivial. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.91/1.10 apply (zenon_L130_); trivial. % 0.91/1.10 apply (zenon_L110_); trivial. % 0.91/1.10 (* end of lemma zenon_L324_ *) % 0.91/1.10 assert (zenon_L325_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H175 zenon_H26 zenon_H112 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.91/1.10 apply (zenon_L324_); trivial. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.91/1.10 apply (zenon_L257_); trivial. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.91/1.10 apply (zenon_L130_); trivial. % 0.91/1.10 apply (zenon_L110_); trivial. % 0.91/1.10 (* end of lemma zenon_L325_ *) % 0.91/1.10 assert (zenon_L326_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H17b zenon_H178 zenon_H26 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H107 zenon_H1ee zenon_H187 zenon_H185 zenon_H186 zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.10 apply (zenon_L323_); trivial. % 0.91/1.10 apply (zenon_L325_); trivial. % 0.91/1.10 (* end of lemma zenon_L326_ *) % 0.91/1.10 assert (zenon_L327_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H195 zenon_H184 zenon_H1e5 zenon_H246 zenon_H119 zenon_H15f zenon_H15b zenon_H107 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_H163 zenon_H161 zenon_H9 zenon_H242 zenon_Hbd zenon_Hac zenon_H1ee zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_Hbb zenon_H159 zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H22 zenon_H26 zenon_Hce zenon_H72 zenon_Hf5 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H167 zenon_H71 zenon_Hf8 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7 zenon_H178. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.10 apply (zenon_L302_); trivial. % 0.91/1.10 apply (zenon_L319_); trivial. % 0.91/1.10 apply (zenon_L326_); trivial. % 0.91/1.10 (* end of lemma zenon_L327_ *) % 0.91/1.10 assert (zenon_L328_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> (c2_1 (a2299)) -> (~(c1_1 (a2299))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c3_1 (a2299))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.91/1.10 do 0 intro. intros zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H12e zenon_H12c zenon_Had zenon_H12d zenon_H12 zenon_H31. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H230 | zenon_intro zenon_H235 ]. % 0.91/1.10 apply (zenon_L224_); trivial. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H199 | zenon_intro zenon_H32 ]. % 0.91/1.10 apply (zenon_L243_); trivial. % 0.91/1.10 exact (zenon_H31 zenon_H32). % 0.91/1.10 (* end of lemma zenon_L328_ *) % 0.91/1.10 assert (zenon_L329_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp1)) -> False). % 0.91/1.10 do 0 intro. intros zenon_H49 zenon_H244 zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H31 zenon_Hbd zenon_H12e zenon_H12d zenon_H12c zenon_Hbb. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Had | zenon_intro zenon_Hbe ]. % 0.91/1.10 apply (zenon_L328_); trivial. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 0.91/1.10 apply (zenon_L48_); trivial. % 0.91/1.10 exact (zenon_Hbb zenon_Hbc). % 0.91/1.10 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 0.91/1.10 apply (zenon_L85_); trivial. % 0.91/1.10 exact (zenon_Hbb zenon_Hbc). % 0.91/1.10 (* end of lemma zenon_L329_ *) % 0.91/1.10 assert (zenon_L330_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2287))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H71 zenon_H6e zenon_H69 zenon_H66 zenon_H246 zenon_H4e zenon_H50 zenon_H3a zenon_H36 zenon_H31 zenon_H193 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H22 zenon_H26 zenon_Hbd zenon_Hbb zenon_H21c zenon_H1d9 zenon_H1da zenon_H12d zenon_H12c zenon_H12e zenon_H234 zenon_H244 zenon_H72. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.10 apply (zenon_L240_); trivial. % 0.91/1.10 apply (zenon_L329_); trivial. % 0.91/1.10 apply (zenon_L248_); trivial. % 0.91/1.10 (* end of lemma zenon_L330_ *) % 0.91/1.10 assert (zenon_L331_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c2_1 (a2342))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(c3_1 (a2316))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.91/1.10 do 0 intro. intros zenon_H1e7 zenon_H28 zenon_H29 zenon_H2a zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H112 zenon_H1d9 zenon_H1da zenon_H5e zenon_He3 zenon_H5d zenon_H5f zenon_H1e5 zenon_H12 zenon_H16a zenon_H16b zenon_H16c. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.91/1.10 apply (zenon_L291_); trivial. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.91/1.10 apply (zenon_L157_); trivial. % 0.91/1.10 apply (zenon_L110_); trivial. % 0.91/1.10 (* end of lemma zenon_L331_ *) % 0.91/1.10 assert (zenon_L332_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp6)) -> (~(hskp10)) -> False). % 0.91/1.10 do 0 intro. intros zenon_H35 zenon_Hf1 zenon_H16c zenon_H16b zenon_H16a zenon_H1e5 zenon_H5f zenon_H5d zenon_H5e zenon_H1da zenon_H1d9 zenon_H112 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H1e7 zenon_H9 zenon_Hef. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf2 ]. % 0.91/1.10 apply (zenon_L331_); trivial. % 0.91/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Ha | zenon_intro zenon_Hf0 ]. % 0.91/1.10 exact (zenon_H9 zenon_Ha). % 0.91/1.10 exact (zenon_Hef zenon_Hf0). % 0.91/1.10 (* end of lemma zenon_L332_ *) % 0.91/1.10 assert (zenon_L333_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.91/1.10 do 0 intro. intros zenon_H1d6 zenon_H16c zenon_H16b zenon_H16a zenon_H1e5 zenon_H5f zenon_H5d zenon_H5e zenon_H1da zenon_H1d9 zenon_H112 zenon_H1e7 zenon_H3e zenon_H3d zenon_H3c zenon_H246 zenon_H125 zenon_H124 zenon_H123 zenon_H238 zenon_H237 zenon_H239 zenon_H12 zenon_Hd. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.91/1.10 apply (zenon_L252_); trivial. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.91/1.10 apply (zenon_L157_); trivial. % 0.91/1.10 apply (zenon_L110_); trivial. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 0.91/1.10 apply (zenon_L20_); trivial. % 0.91/1.10 apply (zenon_L252_); trivial. % 0.91/1.10 (* end of lemma zenon_L333_ *) % 0.91/1.10 assert (zenon_L334_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H49 zenon_H6e zenon_Hf1 zenon_Hef zenon_H9 zenon_H1d6 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1e5 zenon_H112 zenon_H1da zenon_H1d9 zenon_H5f zenon_H5d zenon_H5e zenon_H16a zenon_H16b zenon_H16c zenon_H1e7 zenon_H4e zenon_H50 zenon_H26. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.91/1.10 apply (zenon_L333_); trivial. % 0.91/1.10 apply (zenon_L26_); trivial. % 0.91/1.10 apply (zenon_L159_); trivial. % 0.91/1.10 (* end of lemma zenon_L334_ *) % 0.91/1.10 assert (zenon_L335_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 0.91/1.10 do 0 intro. intros zenon_H6d zenon_H72 zenon_H6e zenon_H1d6 zenon_H238 zenon_H237 zenon_H239 zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H1e7 zenon_H16a zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H74 zenon_H75 zenon_H76 zenon_H16b zenon_H16c zenon_H242 zenon_H9 zenon_Hef zenon_Hf1 zenon_H3a. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.91/1.10 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.10 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.10 apply (zenon_L261_); trivial. % 0.91/1.10 apply (zenon_L332_); trivial. % 0.91/1.10 apply (zenon_L334_); trivial. % 0.91/1.10 (* end of lemma zenon_L335_ *) % 0.91/1.10 assert (zenon_L336_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H72 zenon_H6e zenon_H1d6 zenon_H4e zenon_H50 zenon_H22 zenon_H12c zenon_H12d zenon_H12e zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H242 zenon_H9 zenon_Hef zenon_Hf1 zenon_H3a zenon_H173 zenon_H161 zenon_H69 zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H1e5 zenon_H112 zenon_H26 zenon_H71. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.11 apply (zenon_L260_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.11 apply (zenon_L111_); trivial. % 0.91/1.11 apply (zenon_L335_); trivial. % 0.91/1.11 (* end of lemma zenon_L336_ *) % 0.91/1.11 assert (zenon_L337_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H180 zenon_H184 zenon_H1d6 zenon_H1e7 zenon_H1e5 zenon_H112 zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H193 zenon_H31 zenon_H36 zenon_H50 zenon_H4e zenon_H246 zenon_H69 zenon_H6e zenon_H138 zenon_Hf1 zenon_Hef zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_H72 zenon_H244 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H7f zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H71 zenon_Hde zenon_Hed zenon_H173 zenon_H178. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.11 apply (zenon_L239_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.11 apply (zenon_L330_); trivial. % 0.91/1.11 apply (zenon_L238_); trivial. % 0.91/1.11 apply (zenon_L109_); trivial. % 0.91/1.11 apply (zenon_L336_); trivial. % 0.91/1.11 (* end of lemma zenon_L337_ *) % 0.91/1.11 assert (zenon_L338_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H183 zenon_H1d6 zenon_H1e7 zenon_H1e5 zenon_H112 zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H193 zenon_H36 zenon_H50 zenon_H4e zenon_H246 zenon_H69 zenon_H6e zenon_H72 zenon_H244 zenon_H26 zenon_H22 zenon_Hb zenon_Hf zenon_Hbd zenon_H157 zenon_H242 zenon_H3a zenon_H178 zenon_H173 zenon_Hed zenon_Hbb zenon_Hde zenon_H71 zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H7f zenon_Hac zenon_Ha8 zenon_H31 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hef zenon_Hf1 zenon_H138 zenon_H184. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.91/1.11 apply (zenon_L232_); trivial. % 0.91/1.11 apply (zenon_L337_); trivial. % 0.91/1.11 (* end of lemma zenon_L338_ *) % 0.91/1.11 assert (zenon_L339_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(c1_1 (a2287))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H198 zenon_H119 zenon_H15f zenon_H159 zenon_H15b zenon_H107 zenon_H1c3 zenon_Hf9 zenon_H1d5 zenon_H1c7 zenon_H1a3 zenon_H1b0 zenon_H184 zenon_H138 zenon_Hf1 zenon_Hef zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_Ha5 zenon_Ha3 zenon_Ha8 zenon_Hac zenon_H7f zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H71 zenon_Hde zenon_Hbb zenon_Hed zenon_H173 zenon_H178 zenon_H3a zenon_H242 zenon_H157 zenon_Hbd zenon_Hf zenon_Hb zenon_H22 zenon_H26 zenon_H244 zenon_H72 zenon_H6e zenon_H69 zenon_H246 zenon_H4e zenon_H50 zenon_H36 zenon_H193 zenon_H21c zenon_H1d9 zenon_H1da zenon_H234 zenon_H112 zenon_H1e5 zenon_H1e7 zenon_H1d6 zenon_H183. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.11 apply (zenon_L338_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.11 apply (zenon_L273_); trivial. % 0.91/1.11 apply (zenon_L162_); trivial. % 0.91/1.11 (* end of lemma zenon_L339_ *) % 0.91/1.11 assert (zenon_L340_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 0.91/1.11 do 0 intro. intros zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H85 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_Hbd zenon_H15f zenon_H26 zenon_H22 zenon_H193 zenon_H159 zenon_H157 zenon_H187 zenon_H186 zenon_H185 zenon_H242 zenon_H31 zenon_H36 zenon_H3a zenon_H15b zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.11 apply (zenon_L229_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.11 apply (zenon_L283_); trivial. % 0.91/1.11 apply (zenon_L64_); trivial. % 0.91/1.11 (* end of lemma zenon_L340_ *) % 0.91/1.11 assert (zenon_L341_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H138 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_Hf9 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15b zenon_H3a zenon_H36 zenon_H31 zenon_H242 zenon_H185 zenon_H186 zenon_H187 zenon_H157 zenon_H159 zenon_H193 zenon_H22 zenon_H26 zenon_H15f zenon_Hbd zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.11 apply (zenon_L340_); trivial. % 0.91/1.11 apply (zenon_L90_); trivial. % 0.91/1.11 (* end of lemma zenon_L341_ *) % 0.91/1.11 assert (zenon_L342_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H138 zenon_Hac zenon_Ha5 zenon_Ha3 zenon_Hf9 zenon_H119 zenon_H72 zenon_H6e zenon_H244 zenon_Hbb zenon_H1e7 zenon_H237 zenon_H239 zenon_H238 zenon_H1c3 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H193 zenon_H31 zenon_H36 zenon_H3a zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H165 zenon_H167 zenon_Hf3 zenon_H71. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.11 apply (zenon_L247_); trivial. % 0.91/1.11 apply (zenon_L199_); trivial. % 0.91/1.11 apply (zenon_L90_); trivial. % 0.91/1.11 (* end of lemma zenon_L342_ *) % 0.91/1.11 assert (zenon_L343_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H17b zenon_H178 zenon_H71 zenon_Hf1 zenon_Hef zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H173 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H107 zenon_H1ee zenon_H187 zenon_H185 zenon_H186 zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.11 apply (zenon_L323_); trivial. % 0.91/1.11 apply (zenon_L161_); trivial. % 0.91/1.11 (* end of lemma zenon_L343_ *) % 0.91/1.11 assert (zenon_L344_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H195 zenon_H184 zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H119 zenon_H15f zenon_H15b zenon_H107 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_H163 zenon_H161 zenon_H9 zenon_H242 zenon_Hbd zenon_Hac zenon_H1ee zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_Hbb zenon_H159 zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H22 zenon_H26 zenon_Hce zenon_H72 zenon_Hf5 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H167 zenon_H71 zenon_Hf8 zenon_Hef zenon_Hf1 zenon_H173 zenon_H178. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.11 apply (zenon_L303_); trivial. % 0.91/1.11 apply (zenon_L343_); trivial. % 0.91/1.11 (* end of lemma zenon_L344_ *) % 0.91/1.11 assert (zenon_L345_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.91/1.11 do 0 intro. intros zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H19c zenon_H19b zenon_H19a zenon_H12 zenon_H31. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H230 | zenon_intro zenon_H235 ]. % 0.91/1.11 apply (zenon_L224_); trivial. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H199 | zenon_intro zenon_H32 ]. % 0.91/1.11 apply (zenon_L130_); trivial. % 0.91/1.11 exact (zenon_H31 zenon_H32). % 0.91/1.11 (* end of lemma zenon_L345_ *) % 0.91/1.11 assert (zenon_L346_ : ((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(c1_1 (a2287))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H1fb zenon_H198 zenon_H184 zenon_H1e5 zenon_H246 zenon_H119 zenon_H15f zenon_H15b zenon_H107 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_H163 zenon_H161 zenon_H9 zenon_H242 zenon_Hbd zenon_Hac zenon_H1ee zenon_H157 zenon_Hbb zenon_H159 zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H22 zenon_H26 zenon_Hce zenon_H72 zenon_Hf5 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H167 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H178 zenon_H21c zenon_H1d9 zenon_H1da zenon_H19a zenon_H19b zenon_H19c zenon_H234. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.11 apply (zenon_L345_); trivial. % 0.91/1.11 apply (zenon_L327_); trivial. % 0.91/1.11 (* end of lemma zenon_L346_ *) % 0.91/1.11 assert (zenon_L347_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H1f0 zenon_H1f9 zenon_H1e5 zenon_H246 zenon_H1ee zenon_H193 zenon_Hed zenon_H71 zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H178 zenon_H1e7 zenon_Hf8 zenon_H119 zenon_H167 zenon_H15f zenon_Hac zenon_H159 zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf5 zenon_H72 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_Hbb zenon_Hbd zenon_H26 zenon_H22 zenon_H9 zenon_Hf zenon_H26a zenon_H242 zenon_H107 zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_H138 zenon_H1c3 zenon_H184 zenon_H198. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.11 apply (zenon_L345_); trivial. % 0.91/1.11 apply (zenon_L322_); trivial. % 0.91/1.11 apply (zenon_L346_); trivial. % 0.91/1.11 (* end of lemma zenon_L347_ *) % 0.91/1.11 assert (zenon_L348_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H184 zenon_Hf8 zenon_H71 zenon_Hed zenon_Hef zenon_Hf1 zenon_Hf5 zenon_H72 zenon_Hce zenon_Hca zenon_Hbb zenon_Hbd zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H5 zenon_Ha8 zenon_Hac zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H31 zenon_H36 zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H138. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.11 apply (zenon_L229_); trivial. % 0.91/1.11 apply (zenon_L65_); trivial. % 0.91/1.11 apply (zenon_L109_); trivial. % 0.91/1.11 apply (zenon_L126_); trivial. % 0.91/1.11 (* end of lemma zenon_L348_ *) % 0.91/1.11 assert (zenon_L349_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.91/1.11 do 0 intro. intros zenon_H119 zenon_H6e zenon_H1c3 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H16a zenon_H16b zenon_H16c zenon_H1e7 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.11 apply (zenon_L83_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.91/1.11 apply (zenon_L242_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.91/1.11 apply (zenon_L28_); trivial. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.91/1.11 apply (zenon_L243_); trivial. % 0.91/1.11 apply (zenon_L110_); trivial. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.91/1.11 apply (zenon_L75_); trivial. % 0.91/1.11 apply (zenon_L194_); trivial. % 0.91/1.11 (* end of lemma zenon_L349_ *) % 0.91/1.11 assert (zenon_L350_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H71 zenon_H69 zenon_H66 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H26 zenon_H50 zenon_H4e zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H1e7 zenon_H16c zenon_H16b zenon_H16a zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H6e zenon_H119. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.11 apply (zenon_L349_); trivial. % 0.91/1.11 apply (zenon_L248_); trivial. % 0.91/1.11 (* end of lemma zenon_L350_ *) % 0.91/1.11 assert (zenon_L351_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H72 zenon_H244 zenon_Hbb zenon_H237 zenon_H239 zenon_H238 zenon_H22 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H3a zenon_H119 zenon_H6e zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H1e7 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H69 zenon_H71. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.11 apply (zenon_L350_); trivial. % 0.91/1.11 apply (zenon_L267_); trivial. % 0.91/1.11 (* end of lemma zenon_L351_ *) % 0.91/1.11 assert (zenon_L352_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H183 zenon_H178 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H201 zenon_H202 zenon_H20d zenon_H69 zenon_H167 zenon_H107 zenon_H193 zenon_H50 zenon_H4e zenon_H246 zenon_H1c3 zenon_H1e7 zenon_H6e zenon_H119 zenon_Hf9 zenon_H244 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_H36 zenon_H31 zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_Hac zenon_Ha8 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hbd zenon_Hbb zenon_Hca zenon_Hce zenon_H72 zenon_Hf5 zenon_Hf1 zenon_Hef zenon_Hed zenon_H71 zenon_Hf8 zenon_H184. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.91/1.11 apply (zenon_L348_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.11 apply (zenon_L229_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.11 apply (zenon_L36_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.11 apply (zenon_L19_); trivial. % 0.91/1.11 apply (zenon_L237_); trivial. % 0.91/1.11 apply (zenon_L58_); trivial. % 0.91/1.11 apply (zenon_L64_); trivial. % 0.91/1.11 apply (zenon_L109_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.11 apply (zenon_L342_); trivial. % 0.91/1.11 apply (zenon_L351_); trivial. % 0.91/1.11 (* end of lemma zenon_L352_ *) % 0.91/1.11 assert (zenon_L353_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 0.91/1.11 do 0 intro. intros zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H85 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H15b zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H159 zenon_H15f zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.11 apply (zenon_L229_); trivial. % 0.91/1.11 apply (zenon_L182_); trivial. % 0.91/1.11 (* end of lemma zenon_L353_ *) % 0.91/1.11 assert (zenon_L354_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H138 zenon_H3a zenon_Hbd zenon_H242 zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H22 zenon_H26 zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15f zenon_H159 zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H15b zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.11 apply (zenon_L353_); trivial. % 0.91/1.11 apply (zenon_L317_); trivial. % 0.91/1.11 (* end of lemma zenon_L354_ *) % 0.91/1.11 assert (zenon_L355_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H198 zenon_H17c zenon_H15b zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H157 zenon_H159 zenon_H15f zenon_H1d6 zenon_H1c7 zenon_H184 zenon_Hf8 zenon_H71 zenon_Hed zenon_Hef zenon_Hf1 zenon_Hf5 zenon_H72 zenon_Hce zenon_Hca zenon_Hbb zenon_Hbd zenon_H87 zenon_Ha5 zenon_Ha3 zenon_Ha8 zenon_Hac zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H36 zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H138 zenon_H244 zenon_Hf9 zenon_H119 zenon_H6e zenon_H1e7 zenon_H1c3 zenon_H246 zenon_H4e zenon_H50 zenon_H193 zenon_H107 zenon_H167 zenon_H69 zenon_H20d zenon_H202 zenon_H201 zenon_H1d5 zenon_H242 zenon_H179 zenon_H266 zenon_H178 zenon_H183. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.91/1.11 apply (zenon_L352_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.11 apply (zenon_L354_); trivial. % 0.91/1.11 apply (zenon_L116_); trivial. % 0.91/1.11 (* end of lemma zenon_L355_ *) % 0.91/1.11 assert (zenon_L356_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(c0_1 (a2286))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp8)) -> False). % 0.91/1.11 do 0 intro. intros zenon_H270 zenon_H202 zenon_H201 zenon_H271 zenon_H12 zenon_H81 zenon_H179. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H273 | zenon_intro zenon_H272 ]. % 0.91/1.11 generalize (zenon_H273 (a2286)). zenon_intro zenon_H274. % 0.91/1.11 apply (zenon_imply_s _ _ zenon_H274); [ zenon_intro zenon_H11 | zenon_intro zenon_H275 ]. % 0.91/1.11 exact (zenon_H11 zenon_H12). % 0.91/1.11 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H277 | zenon_intro zenon_H276 ]. % 0.91/1.11 exact (zenon_H271 zenon_H277). % 0.91/1.11 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H206 | zenon_intro zenon_H207 ]. % 0.91/1.11 exact (zenon_H201 zenon_H206). % 0.91/1.11 exact (zenon_H207 zenon_H202). % 0.91/1.11 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H82 | zenon_intro zenon_H17a ]. % 0.91/1.11 exact (zenon_H81 zenon_H82). % 0.91/1.11 exact (zenon_H179 zenon_H17a). % 0.91/1.11 (* end of lemma zenon_L356_ *) % 0.91/1.11 assert (zenon_L357_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(c0_1 (a2286))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H184 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_Hac zenon_Ha8 zenon_H5 zenon_H31 zenon_Ha3 zenon_Ha5 zenon_H271 zenon_H201 zenon_H202 zenon_H179 zenon_H270 zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf8. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.11 apply (zenon_L229_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.91/1.11 apply (zenon_L36_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.91/1.11 apply (zenon_L356_); trivial. % 0.91/1.11 apply (zenon_L45_); trivial. % 0.91/1.11 apply (zenon_L58_); trivial. % 0.91/1.11 apply (zenon_L126_); trivial. % 0.91/1.11 (* end of lemma zenon_L357_ *) % 0.91/1.11 assert (zenon_L358_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(c0_1 (a2286))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H183 zenon_H244 zenon_H1e7 zenon_H1c3 zenon_H50 zenon_H69 zenon_H138 zenon_H119 zenon_H15b zenon_H3a zenon_H36 zenon_H242 zenon_H185 zenon_H186 zenon_H187 zenon_H157 zenon_H159 zenon_H193 zenon_H22 zenon_H26 zenon_H15f zenon_Hbd zenon_H72 zenon_Hce zenon_Hca zenon_H87 zenon_H107 zenon_Hfb zenon_Hed zenon_H4e zenon_Hf9 zenon_H246 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H1d5 zenon_H1c7 zenon_H266 zenon_H6e zenon_H167 zenon_H71 zenon_H178 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_H270 zenon_H179 zenon_H202 zenon_H201 zenon_H271 zenon_Ha5 zenon_Ha3 zenon_H31 zenon_Ha8 zenon_Hac zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H184. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.91/1.11 apply (zenon_L357_); trivial. % 0.91/1.11 apply (zenon_L295_); trivial. % 0.91/1.11 (* end of lemma zenon_L358_ *) % 0.91/1.11 assert (zenon_L359_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_H186 zenon_H185 zenon_H187 zenon_H1ee zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15f zenon_H159 zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H15b zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.11 apply (zenon_L353_); trivial. % 0.91/1.11 apply (zenon_L167_); trivial. % 0.91/1.11 (* end of lemma zenon_L359_ *) % 0.91/1.11 assert (zenon_L360_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H179 zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H15b zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H157 zenon_H159 zenon_H15f zenon_H119 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H1ee zenon_H187 zenon_H185 zenon_H186 zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.11 apply (zenon_L359_); trivial. % 0.91/1.11 apply (zenon_L116_); trivial. % 0.91/1.11 (* end of lemma zenon_L360_ *) % 0.91/1.11 assert (zenon_L361_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (ndr1_0) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H119 zenon_H167 zenon_H165 zenon_H15f zenon_H159 zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H1c3 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H15b zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_H85 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H12 zenon_H74 zenon_H75 zenon_H76 zenon_H7f zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.11 apply (zenon_L181_); trivial. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.11 apply (zenon_L178_); trivial. % 0.91/1.11 apply (zenon_L106_); trivial. % 0.91/1.11 (* end of lemma zenon_L361_ *) % 0.91/1.11 assert (zenon_L362_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> (~(c2_1 (a2342))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a2323))) -> (ndr1_0) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> (c3_1 (a2278)) -> False). % 0.91/1.11 do 0 intro. intros zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H2a zenon_H29 zenon_H28 zenon_H157 zenon_H10b zenon_H10a zenon_Had zenon_H109 zenon_H12 zenon_H9a zenon_H9b zenon_H9c. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 0.91/1.11 apply (zenon_L34_); trivial. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 0.91/1.11 apply (zenon_L15_); trivial. % 0.91/1.11 apply (zenon_L140_); trivial. % 0.91/1.11 (* end of lemma zenon_L362_ *) % 0.91/1.11 assert (zenon_L363_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(c2_1 (a2342))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> False). % 0.91/1.11 do 0 intro. intros zenon_Ha7 zenon_H1c3 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H10b zenon_H10a zenon_H109 zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H28 zenon_H2a zenon_H29 zenon_H157 zenon_Hbb. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.91/1.11 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.91/1.11 apply (zenon_L362_); trivial. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.91/1.11 apply (zenon_L75_); trivial. % 0.91/1.11 apply (zenon_L144_); trivial. % 0.91/1.11 (* end of lemma zenon_L363_ *) % 0.91/1.11 assert (zenon_L364_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (~(hskp21)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H35 zenon_Hac zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_Hbb zenon_H159 zenon_H74 zenon_H75 zenon_H76 zenon_H157 zenon_H10b zenon_H10a zenon_H109 zenon_H242 zenon_Hed zenon_H85 zenon_H7d zenon_H5f zenon_H5d zenon_H5e zenon_H4e zenon_Hf9. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.91/1.11 apply (zenon_L67_); trivial. % 0.91/1.11 apply (zenon_L363_); trivial. % 0.91/1.11 (* end of lemma zenon_L364_ *) % 0.91/1.11 assert (zenon_L365_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (~(hskp21)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H3a zenon_Hac zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_Hbb zenon_H159 zenon_H74 zenon_H75 zenon_H76 zenon_H157 zenon_H10b zenon_H10a zenon_H109 zenon_H242 zenon_Hed zenon_H85 zenon_H7d zenon_H5f zenon_H5d zenon_H5e zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H9 zenon_H1f zenon_H22 zenon_H26. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.91/1.11 apply (zenon_L14_); trivial. % 0.91/1.11 apply (zenon_L364_); trivial. % 0.91/1.11 (* end of lemma zenon_L365_ *) % 0.91/1.11 assert (zenon_L366_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 0.91/1.11 do 0 intro. intros zenon_H116 zenon_Hf3 zenon_H167 zenon_H165 zenon_H3a zenon_Hac zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_Hbb zenon_H159 zenon_H74 zenon_H75 zenon_H76 zenon_H157 zenon_H242 zenon_Hed zenon_H85 zenon_H5f zenon_H5d zenon_H5e zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.91/1.11 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.91/1.11 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.11 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.11 apply (zenon_L365_); trivial. % 0.91/1.11 apply (zenon_L185_); trivial. % 0.91/1.11 apply (zenon_L106_); trivial. % 0.91/1.11 (* end of lemma zenon_L366_ *) % 0.91/1.11 assert (zenon_L367_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.91/1.12 do 0 intro. intros zenon_H6d zenon_H119 zenon_Hac zenon_H1c3 zenon_H157 zenon_H4e zenon_Hf9 zenon_H72 zenon_H6e zenon_H1d6 zenon_Hed zenon_H1c7 zenon_H112 zenon_H13a zenon_H13b zenon_H13c zenon_Hbb zenon_H159 zenon_H1d5 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H26a zenon_H85 zenon_H19c zenon_H19b zenon_H19a zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H107 zenon_H3a zenon_H165 zenon_H167 zenon_Hf3. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.91/1.12 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.12 apply (zenon_L312_); trivial. % 0.91/1.12 apply (zenon_L185_); trivial. % 0.91/1.12 apply (zenon_L106_); trivial. % 0.91/1.12 apply (zenon_L366_); trivial. % 0.91/1.12 (* end of lemma zenon_L367_ *) % 0.91/1.12 assert (zenon_L368_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 0.91/1.12 do 0 intro. intros zenon_Hf8 zenon_H71 zenon_H4e zenon_Hf9 zenon_H72 zenon_H6e zenon_H1d6 zenon_Hed zenon_H1c7 zenon_H1d5 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H26a zenon_H19c zenon_H19b zenon_H19a zenon_H242 zenon_H3a zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H85 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H15b zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H159 zenon_H15f zenon_H165 zenon_H167 zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 0.91/1.12 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.12 apply (zenon_L229_); trivial. % 0.91/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.12 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.12 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.12 apply (zenon_L361_); trivial. % 0.91/1.12 apply (zenon_L367_); trivial. % 0.91/1.12 (* end of lemma zenon_L368_ *) % 0.91/1.12 assert (zenon_L369_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 0.91/1.12 do 0 intro. intros zenon_H195 zenon_H184 zenon_H1e5 zenon_H246 zenon_H216 zenon_H50 zenon_H69 zenon_H138 zenon_Hbd zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H119 zenon_H167 zenon_H15f zenon_H159 zenon_H157 zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H15b zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_H3a zenon_H242 zenon_H19a zenon_H19b zenon_H19c zenon_H26a zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H1d5 zenon_H1c7 zenon_Hed zenon_H1d6 zenon_H6e zenon_H72 zenon_Hf9 zenon_H4e zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H178. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.12 apply (zenon_L368_); trivial. % 0.91/1.12 apply (zenon_L317_); trivial. % 0.91/1.12 apply (zenon_L319_); trivial. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.12 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.12 apply (zenon_L198_); trivial. % 0.91/1.12 apply (zenon_L32_); trivial. % 0.91/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.12 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.12 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.12 apply (zenon_L198_); trivial. % 0.91/1.12 apply (zenon_L367_); trivial. % 0.91/1.12 apply (zenon_L154_); trivial. % 0.91/1.12 apply (zenon_L325_); trivial. % 0.91/1.12 (* end of lemma zenon_L369_ *) % 0.91/1.12 assert (zenon_L370_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.91/1.12 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_H1ee zenon_H187 zenon_H185 zenon_H186 zenon_Hed zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H85 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H15b zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H159 zenon_H15f zenon_H165 zenon_H167 zenon_H119. % 0.91/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.12 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.12 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.12 apply (zenon_L361_); trivial. % 0.91/1.12 apply (zenon_L186_); trivial. % 0.91/1.12 (* end of lemma zenon_L370_ *) % 0.91/1.12 assert (zenon_L371_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.91/1.12 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_H19c zenon_H19b zenon_H19a zenon_Hf8 zenon_H71 zenon_H1ee zenon_H187 zenon_H185 zenon_H186 zenon_Hed zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H15b zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H159 zenon_H15f zenon_H167 zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.12 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.12 apply (zenon_L229_); trivial. % 0.91/1.12 apply (zenon_L370_); trivial. % 0.91/1.12 apply (zenon_L167_); trivial. % 0.91/1.12 apply (zenon_L319_); trivial. % 0.91/1.12 (* end of lemma zenon_L371_ *) % 0.91/1.12 assert (zenon_L372_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.91/1.12 do 0 intro. intros zenon_H71 zenon_H1ee zenon_H187 zenon_H185 zenon_H186 zenon_Hed zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H15b zenon_Hce zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.12 apply (zenon_L198_); trivial. % 0.91/1.12 apply (zenon_L186_); trivial. % 0.91/1.12 (* end of lemma zenon_L372_ *) % 0.91/1.12 assert (zenon_L373_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.91/1.12 do 0 intro. intros zenon_H138 zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H216 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H186 zenon_H185 zenon_H187 zenon_H1ee zenon_H71. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.12 apply (zenon_L372_); trivial. % 0.91/1.12 apply (zenon_L167_); trivial. % 0.91/1.12 (* end of lemma zenon_L373_ *) % 0.91/1.12 assert (zenon_L374_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 0.91/1.12 do 0 intro. intros zenon_H195 zenon_H184 zenon_H26 zenon_H1e5 zenon_H246 zenon_H216 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H119 zenon_H167 zenon_H15f zenon_H159 zenon_H157 zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H15b zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H186 zenon_H185 zenon_H187 zenon_H1ee zenon_H71 zenon_Hf8 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7 zenon_H178. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.12 apply (zenon_L371_); trivial. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.12 apply (zenon_L373_); trivial. % 0.91/1.12 apply (zenon_L325_); trivial. % 0.91/1.12 (* end of lemma zenon_L374_ *) % 0.91/1.12 assert (zenon_L375_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2299)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.91/1.12 do 0 intro. intros zenon_H138 zenon_Hac zenon_Ha5 zenon_Ha3 zenon_H4e zenon_Hf9 zenon_H72 zenon_H244 zenon_H234 zenon_H12e zenon_H12c zenon_H12d zenon_H1da zenon_H1d9 zenon_H21c zenon_Hbb zenon_Hbd zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H31 zenon_H36 zenon_H3a zenon_Hf1 zenon_Hef zenon_Hed zenon_Hdc zenon_Hde zenon_Hf3 zenon_H71. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.91/1.12 apply (zenon_L19_); trivial. % 0.91/1.12 apply (zenon_L329_); trivial. % 0.91/1.12 apply (zenon_L64_); trivial. % 0.91/1.12 apply (zenon_L90_); trivial. % 0.91/1.12 (* end of lemma zenon_L375_ *) % 0.91/1.12 assert (zenon_L376_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.91/1.12 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H72 zenon_H1d6 zenon_H238 zenon_H237 zenon_H239 zenon_H22 zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H242 zenon_H9 zenon_Hef zenon_Hf1 zenon_H3a zenon_H119 zenon_H6e zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H1e7 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H69 zenon_H71. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.91/1.12 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.91/1.12 apply (zenon_L350_); trivial. % 0.91/1.12 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.91/1.12 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.91/1.12 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.91/1.12 apply (zenon_L349_); trivial. % 0.91/1.12 apply (zenon_L335_); trivial. % 0.91/1.12 (* end of lemma zenon_L376_ *) % 0.91/1.12 assert (zenon_L377_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c1_1 (a2287))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.91/1.12 do 0 intro. intros zenon_H183 zenon_H178 zenon_H1d6 zenon_H112 zenon_H1e5 zenon_H242 zenon_H201 zenon_H202 zenon_H20d zenon_H69 zenon_H167 zenon_H107 zenon_H193 zenon_H50 zenon_H246 zenon_H1c3 zenon_H1e7 zenon_H6e zenon_H119 zenon_H21c zenon_H1d9 zenon_H1da zenon_H234 zenon_H244 zenon_Hf9 zenon_H4e zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_H36 zenon_H31 zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_Hac zenon_Ha8 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hbd zenon_Hbb zenon_Hca zenon_Hce zenon_H72 zenon_Hf5 zenon_Hf1 zenon_Hef zenon_Hed zenon_H71 zenon_Hf8 zenon_H184. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.91/1.12 apply (zenon_L348_); trivial. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.91/1.12 apply (zenon_L375_); trivial. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.91/1.12 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.91/1.12 apply (zenon_L342_); trivial. % 0.91/1.12 apply (zenon_L376_); trivial. % 0.91/1.12 (* end of lemma zenon_L377_ *) % 0.91/1.12 assert (zenon_L378_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.91/1.12 do 0 intro. intros zenon_H138 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_Hf9 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15f zenon_H159 zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H15b zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8. % 0.91/1.12 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.91/1.12 apply (zenon_L353_); trivial. % 0.91/1.12 apply (zenon_L90_); trivial. % 0.91/1.12 (* end of lemma zenon_L378_ *) % 0.91/1.12 assert (zenon_L379_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H17b zenon_H178 zenon_Hf8 zenon_H72 zenon_H1d6 zenon_H238 zenon_H237 zenon_H239 zenon_H22 zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H242 zenon_H3a zenon_H6e zenon_H1e7 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H69 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H15b zenon_Hce zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H87 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H138. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.96/1.12 apply (zenon_L200_); trivial. % 0.96/1.12 apply (zenon_L376_); trivial. % 0.96/1.12 (* end of lemma zenon_L379_ *) % 0.96/1.12 assert (zenon_L380_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H180 zenon_H184 zenon_H178 zenon_H72 zenon_H1d6 zenon_H22 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H242 zenon_H3a zenon_H6e zenon_H1e7 zenon_H246 zenon_H50 zenon_H26 zenon_H69 zenon_H216 zenon_H167 zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H15b zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H159 zenon_H15f zenon_H119 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hf9 zenon_H4e zenon_H138. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.12 apply (zenon_L378_); trivial. % 0.96/1.12 apply (zenon_L379_); trivial. % 0.96/1.12 (* end of lemma zenon_L380_ *) % 0.96/1.12 assert (zenon_L381_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H198 zenon_H1d5 zenon_H1c7 zenon_H15f zenon_H159 zenon_H157 zenon_H1a3 zenon_H1b0 zenon_H15b zenon_H216 zenon_H7 zenon_H184 zenon_Hf8 zenon_H71 zenon_Hed zenon_Hef zenon_Hf1 zenon_Hf5 zenon_H72 zenon_Hce zenon_Hca zenon_Hbb zenon_Hbd zenon_H87 zenon_Ha5 zenon_Ha3 zenon_Ha8 zenon_Hac zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H36 zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H138 zenon_H4e zenon_Hf9 zenon_H244 zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H119 zenon_H6e zenon_H1e7 zenon_H1c3 zenon_H246 zenon_H50 zenon_H193 zenon_H107 zenon_H167 zenon_H69 zenon_H20d zenon_H202 zenon_H201 zenon_H242 zenon_H1e5 zenon_H112 zenon_H1d6 zenon_H178 zenon_H183. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.12 apply (zenon_L377_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.12 apply (zenon_L354_); trivial. % 0.96/1.12 apply (zenon_L206_); trivial. % 0.96/1.12 apply (zenon_L380_); trivial. % 0.96/1.12 (* end of lemma zenon_L381_ *) % 0.96/1.12 assert (zenon_L382_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_Hbd zenon_H15f zenon_H26 zenon_H22 zenon_H193 zenon_H159 zenon_H157 zenon_H187 zenon_H186 zenon_H185 zenon_H242 zenon_H31 zenon_H36 zenon_H3a zenon_H15b zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H138. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.12 apply (zenon_L340_); trivial. % 0.96/1.12 apply (zenon_L109_); trivial. % 0.96/1.12 apply (zenon_L126_); trivial. % 0.96/1.12 (* end of lemma zenon_L382_ *) % 0.96/1.12 assert (zenon_L383_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H138 zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H185 zenon_H186 zenon_H187 zenon_H31 zenon_H36 zenon_H87 zenon_H216 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.12 apply (zenon_L83_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.96/1.12 apply (zenon_L101_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.96/1.12 apply (zenon_L121_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.96/1.12 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 0.96/1.12 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 0.96/1.12 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.96/1.12 apply (zenon_L196_); trivial. % 0.96/1.12 apply (zenon_L120_); trivial. % 0.96/1.12 apply (zenon_L106_); trivial. % 0.96/1.12 apply (zenon_L199_); trivial. % 0.96/1.12 apply (zenon_L109_); trivial. % 0.96/1.12 (* end of lemma zenon_L383_ *) % 0.96/1.12 assert (zenon_L384_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H17b zenon_H178 zenon_Hf8 zenon_H72 zenon_H1d6 zenon_H238 zenon_H237 zenon_H239 zenon_H22 zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H242 zenon_H3a zenon_H6e zenon_H1e7 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H69 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H15b zenon_Hce zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H87 zenon_H36 zenon_H31 zenon_H187 zenon_H186 zenon_H185 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H138. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.96/1.12 apply (zenon_L383_); trivial. % 0.96/1.12 apply (zenon_L376_); trivial. % 0.96/1.12 (* end of lemma zenon_L384_ *) % 0.96/1.12 assert (zenon_L385_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H183 zenon_H178 zenon_H1d6 zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H6e zenon_H1e7 zenon_H246 zenon_H50 zenon_H69 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H167 zenon_Hf9 zenon_H4e zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15b zenon_H3a zenon_H36 zenon_H31 zenon_H242 zenon_H185 zenon_H186 zenon_H187 zenon_H157 zenon_H159 zenon_H193 zenon_H22 zenon_H26 zenon_H15f zenon_Hbd zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8 zenon_Ha8 zenon_H184. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.12 apply (zenon_L382_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.12 apply (zenon_L341_); trivial. % 0.96/1.12 apply (zenon_L384_); trivial. % 0.96/1.12 (* end of lemma zenon_L385_ *) % 0.96/1.12 assert (zenon_L386_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H1f0 zenon_H1f9 zenon_H1ee zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H178 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_H4e zenon_Hf9 zenon_H72 zenon_H6e zenon_H1d6 zenon_Hed zenon_H1c7 zenon_H1d5 zenon_H26 zenon_H22 zenon_H9 zenon_Hf zenon_H26a zenon_H242 zenon_H3a zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H15b zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H157 zenon_H159 zenon_H15f zenon_H167 zenon_H119 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hbd zenon_H138 zenon_H69 zenon_H50 zenon_H216 zenon_H246 zenon_H1e5 zenon_H184 zenon_H198. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.12 apply (zenon_L345_); trivial. % 0.96/1.12 apply (zenon_L369_); trivial. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.12 apply (zenon_L345_); trivial. % 0.96/1.12 apply (zenon_L374_); trivial. % 0.96/1.12 (* end of lemma zenon_L386_ *) % 0.96/1.12 assert (zenon_L387_ : ((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp3)) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> False). % 0.96/1.12 do 0 intro. intros zenon_H1d2 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H112 zenon_H145 zenon_H146 zenon_H21d zenon_H21e zenon_H21f zenon_H1e5. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H12. zenon_intro zenon_H1d3. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c9. zenon_intro zenon_H1d4. % 0.96/1.12 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1ca. zenon_intro zenon_H1cb. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 0.96/1.12 apply (zenon_L34_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_He9 | zenon_intro zenon_H1e6 ]. % 0.96/1.12 apply (zenon_L208_); trivial. % 0.96/1.12 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H113 ]. % 0.96/1.12 generalize (zenon_H1d8 (a2337)). zenon_intro zenon_H278. % 0.96/1.12 apply (zenon_imply_s _ _ zenon_H278); [ zenon_intro zenon_H11 | zenon_intro zenon_H279 ]. % 0.96/1.12 exact (zenon_H11 zenon_H12). % 0.96/1.12 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H14c | zenon_intro zenon_H27a ]. % 0.96/1.12 exact (zenon_H14c zenon_H145). % 0.96/1.12 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H27b | zenon_intro zenon_H14b ]. % 0.96/1.12 generalize (zenon_H27 (a2337)). zenon_intro zenon_H27c. % 0.96/1.12 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_H11 | zenon_intro zenon_H27d ]. % 0.96/1.12 exact (zenon_H11 zenon_H12). % 0.96/1.12 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H27e | zenon_intro zenon_H149 ]. % 0.96/1.12 exact (zenon_H27b zenon_H27e). % 0.96/1.12 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H14c | zenon_intro zenon_H14b ]. % 0.96/1.12 exact (zenon_H14c zenon_H145). % 0.96/1.12 exact (zenon_H14b zenon_H146). % 0.96/1.12 exact (zenon_H14b zenon_H146). % 0.96/1.12 exact (zenon_H112 zenon_H113). % 0.96/1.12 apply (zenon_L149_); trivial. % 0.96/1.12 (* end of lemma zenon_L387_ *) % 0.96/1.12 assert (zenon_L388_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp27)) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1d5 zenon_H242 zenon_H21d zenon_H21e zenon_H21f zenon_H145 zenon_H146 zenon_H1e5 zenon_H76 zenon_H75 zenon_H74 zenon_H4c zenon_H112 zenon_H1c7. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1d2 ]. % 0.96/1.13 apply (zenon_L148_); trivial. % 0.96/1.13 apply (zenon_L387_); trivial. % 0.96/1.13 (* end of lemma zenon_L388_ *) % 0.96/1.13 assert (zenon_L389_ : ((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H68 zenon_H1d5 zenon_H242 zenon_H21d zenon_H21e zenon_H21f zenon_H145 zenon_H146 zenon_H112 zenon_H1e5 zenon_H76 zenon_H75 zenon_H74 zenon_H179 zenon_H266. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1d2 ]. % 0.96/1.13 apply (zenon_L262_); trivial. % 0.96/1.13 apply (zenon_L387_); trivial. % 0.96/1.13 (* end of lemma zenon_L389_ *) % 0.96/1.13 assert (zenon_L390_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H15c zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H74 zenon_H75 zenon_H76 zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H242 zenon_H1d5. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.96/1.13 apply (zenon_L388_); trivial. % 0.96/1.13 apply (zenon_L389_); trivial. % 0.96/1.13 (* end of lemma zenon_L390_ *) % 0.96/1.13 assert (zenon_L391_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H116 zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_H15f zenon_H1d5 zenon_H242 zenon_H21d zenon_H21e zenon_H21f zenon_H1e5 zenon_H76 zenon_H75 zenon_H74 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H15b. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.96/1.13 apply (zenon_L101_); trivial. % 0.96/1.13 apply (zenon_L390_); trivial. % 0.96/1.13 apply (zenon_L58_); trivial. % 0.96/1.13 (* end of lemma zenon_L391_ *) % 0.96/1.13 assert (zenon_L392_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_H7f zenon_H107 zenon_H21d zenon_H21e zenon_H21f zenon_H22e zenon_Hbd zenon_Hbb zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H72 zenon_Hf5 zenon_H15b zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H1e5 zenon_H242 zenon_H1d5 zenon_H15f zenon_H119 zenon_Hf8. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.13 apply (zenon_L229_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.96/1.13 apply (zenon_L36_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.13 apply (zenon_L219_); trivial. % 0.96/1.13 apply (zenon_L204_); trivial. % 0.96/1.13 apply (zenon_L58_); trivial. % 0.96/1.13 apply (zenon_L391_); trivial. % 0.96/1.13 apply (zenon_L126_); trivial. % 0.96/1.13 (* end of lemma zenon_L392_ *) % 0.96/1.13 assert (zenon_L393_ : ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H22e zenon_H12e zenon_H12d zenon_H12c zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_H1f. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H89 | zenon_intro zenon_H22f ]. % 0.96/1.13 apply (zenon_L85_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_He9 | zenon_intro zenon_H20 ]. % 0.96/1.13 apply (zenon_L208_); trivial. % 0.96/1.13 exact (zenon_H1f zenon_H20). % 0.96/1.13 (* end of lemma zenon_L393_ *) % 0.96/1.13 assert (zenon_L394_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 0.96/1.13 do 0 intro. intros zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H22e zenon_H21f zenon_H21e zenon_H21d zenon_H12e zenon_H12d zenon_H12c zenon_Hbd zenon_Hbb zenon_H244 zenon_H72 zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.13 apply (zenon_L229_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.96/1.13 apply (zenon_L36_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.13 apply (zenon_L393_); trivial. % 0.96/1.13 apply (zenon_L237_); trivial. % 0.96/1.13 apply (zenon_L58_); trivial. % 0.96/1.13 (* end of lemma zenon_L394_ *) % 0.96/1.13 assert (zenon_L395_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> (ndr1_0) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> False). % 0.96/1.13 do 0 intro. intros zenon_Hf3 zenon_H167 zenon_H165 zenon_H12 zenon_H21d zenon_H21e zenon_H21f zenon_H85 zenon_Hed. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.13 apply (zenon_L209_); trivial. % 0.96/1.13 apply (zenon_L106_); trivial. % 0.96/1.13 (* end of lemma zenon_L395_ *) % 0.96/1.13 assert (zenon_L396_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H49 zenon_H6e zenon_H1d6 zenon_H11c zenon_H11b zenon_H11a zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H4e zenon_H50 zenon_H26. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.96/1.13 apply (zenon_L242_); trivial. % 0.96/1.13 apply (zenon_L152_); trivial. % 0.96/1.13 (* end of lemma zenon_L396_ *) % 0.96/1.13 assert (zenon_L397_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H135 zenon_H72 zenon_H6e zenon_H1d6 zenon_H246 zenon_H125 zenon_H124 zenon_H123 zenon_H4e zenon_H50 zenon_H26 zenon_H12c zenon_H12d zenon_H12e zenon_H21d zenon_H21e zenon_H21f zenon_H22e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.13 apply (zenon_L393_); trivial. % 0.96/1.13 apply (zenon_L396_); trivial. % 0.96/1.13 (* end of lemma zenon_L397_ *) % 0.96/1.13 assert (zenon_L398_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H246 zenon_H125 zenon_H124 zenon_H123 zenon_H4e zenon_H50 zenon_H26 zenon_H12c zenon_H12d zenon_H12e zenon_H22e zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_H165 zenon_H167 zenon_Hf3. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.13 apply (zenon_L395_); trivial. % 0.96/1.13 apply (zenon_L397_); trivial. % 0.96/1.13 (* end of lemma zenon_L398_ *) % 0.96/1.13 assert (zenon_L399_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H180 zenon_H184 zenon_H178 zenon_H119 zenon_H1e7 zenon_H1c3 zenon_H22 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H3a zenon_H107 zenon_H173 zenon_H161 zenon_H69 zenon_H1e5 zenon_H112 zenon_H71 zenon_H167 zenon_Hed zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H1d6 zenon_H6e zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_H72 zenon_H244 zenon_Hbb zenon_Hbd zenon_H21d zenon_H21e zenon_H21f zenon_H22e zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.13 apply (zenon_L394_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.96/1.13 apply (zenon_L398_); trivial. % 0.96/1.13 apply (zenon_L268_); trivial. % 0.96/1.13 (* end of lemma zenon_L399_ *) % 0.96/1.13 assert (zenon_L400_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (ndr1_0) -> (~(hskp30)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1d6 zenon_H11c zenon_H11b zenon_H11a zenon_H3e zenon_H3d zenon_H3c zenon_H246 zenon_H125 zenon_H124 zenon_H123 zenon_H238 zenon_H237 zenon_H239 zenon_H12 zenon_Hd. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 0.96/1.13 apply (zenon_L80_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 0.96/1.13 apply (zenon_L20_); trivial. % 0.96/1.13 apply (zenon_L252_); trivial. % 0.96/1.13 (* end of lemma zenon_L400_ *) % 0.96/1.13 assert (zenon_L401_ : ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (c3_1 (a2315)) -> (c2_1 (a2315)) -> (c1_1 (a2315)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H16 zenon_H15 zenon_H14 zenon_H52 zenon_H12 zenon_H112. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_He9 | zenon_intro zenon_H1e6 ]. % 0.96/1.13 apply (zenon_L208_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H113 ]. % 0.96/1.13 apply (zenon_L256_); trivial. % 0.96/1.13 exact (zenon_H112 zenon_H113). % 0.96/1.13 (* end of lemma zenon_L401_ *) % 0.96/1.13 assert (zenon_L402_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (~(hskp3)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H21 zenon_H1d6 zenon_H11c zenon_H11b zenon_H11a zenon_H3e zenon_H3d zenon_H3c zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H112. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 0.96/1.13 apply (zenon_L80_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 0.96/1.13 apply (zenon_L20_); trivial. % 0.96/1.13 apply (zenon_L401_); trivial. % 0.96/1.13 (* end of lemma zenon_L402_ *) % 0.96/1.13 assert (zenon_L403_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H49 zenon_H26 zenon_H21d zenon_H21e zenon_H21f zenon_H112 zenon_H1e5 zenon_H11a zenon_H11b zenon_H11c zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1d6. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.96/1.13 apply (zenon_L400_); trivial. % 0.96/1.13 apply (zenon_L402_); trivial. % 0.96/1.13 (* end of lemma zenon_L403_ *) % 0.96/1.13 assert (zenon_L404_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H138 zenon_H72 zenon_H26 zenon_H112 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1d6 zenon_H13a zenon_H13b zenon_H13c zenon_H1ee zenon_Hbb zenon_H159 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_H165 zenon_H167 zenon_Hf3. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.13 apply (zenon_L395_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.13 apply (zenon_L214_); trivial. % 0.96/1.13 apply (zenon_L403_); trivial. % 0.96/1.13 (* end of lemma zenon_L404_ *) % 0.96/1.13 assert (zenon_L405_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp30)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp3)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1e7 zenon_Hd zenon_H239 zenon_H237 zenon_H238 zenon_H123 zenon_H124 zenon_H125 zenon_H246 zenon_H112 zenon_H1d9 zenon_H1da zenon_H21d zenon_H21e zenon_H21f zenon_H1e5 zenon_H12 zenon_H16a zenon_H16b zenon_H16c. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.96/1.13 apply (zenon_L252_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.96/1.13 apply (zenon_L225_); trivial. % 0.96/1.13 apply (zenon_L110_); trivial. % 0.96/1.13 (* end of lemma zenon_L405_ *) % 0.96/1.13 assert (zenon_L406_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp3)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H21 zenon_H1e7 zenon_H112 zenon_H1d9 zenon_H1da zenon_H21d zenon_H21e zenon_H21f zenon_H1e5 zenon_H16a zenon_H16b zenon_H16c. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.96/1.13 apply (zenon_L401_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.96/1.13 apply (zenon_L225_); trivial. % 0.96/1.13 apply (zenon_L110_); trivial. % 0.96/1.13 (* end of lemma zenon_L406_ *) % 0.96/1.13 assert (zenon_L407_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H175 zenon_H26 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1e5 zenon_H112 zenon_H1da zenon_H1d9 zenon_H21f zenon_H21e zenon_H21d zenon_H1e7. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.96/1.13 apply (zenon_L405_); trivial. % 0.96/1.13 apply (zenon_L406_); trivial. % 0.96/1.13 (* end of lemma zenon_L407_ *) % 0.96/1.13 assert (zenon_L408_ : ((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H219 zenon_H198 zenon_H184 zenon_H178 zenon_H1e7 zenon_H167 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H26 zenon_Hf3 zenon_Hde zenon_Hbb zenon_Hed zenon_H159 zenon_H1ee zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138 zenon_H1e5 zenon_H112 zenon_H21f zenon_H21e zenon_H21d zenon_H234. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.13 apply (zenon_L226_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.13 apply (zenon_L215_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.96/1.13 apply (zenon_L404_); trivial. % 0.96/1.13 apply (zenon_L407_); trivial. % 0.96/1.13 (* end of lemma zenon_L408_ *) % 0.96/1.13 assert (zenon_L409_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H135 zenon_H72 zenon_H26 zenon_H1d6 zenon_H112 zenon_H1e5 zenon_H123 zenon_H124 zenon_H125 zenon_H246 zenon_H12c zenon_H12d zenon_H12e zenon_H21d zenon_H21e zenon_H21f zenon_H22e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.13 apply (zenon_L393_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.96/1.13 apply (zenon_L241_); trivial. % 0.96/1.13 apply (zenon_L402_); trivial. % 0.96/1.13 (* end of lemma zenon_L409_ *) % 0.96/1.13 assert (zenon_L410_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H138 zenon_H72 zenon_H26 zenon_H1d6 zenon_H112 zenon_H1e5 zenon_H123 zenon_H124 zenon_H125 zenon_H246 zenon_H12c zenon_H12d zenon_H12e zenon_H22e zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_H165 zenon_H167 zenon_Hf3. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.13 apply (zenon_L395_); trivial. % 0.96/1.13 apply (zenon_L409_); trivial. % 0.96/1.13 (* end of lemma zenon_L410_ *) % 0.96/1.13 assert (zenon_L411_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H180 zenon_H184 zenon_H178 zenon_H22 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H3a zenon_H119 zenon_H6e zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H1e7 zenon_H4e zenon_H50 zenon_H107 zenon_H69 zenon_H71 zenon_H167 zenon_Hed zenon_H246 zenon_H1e5 zenon_H112 zenon_H1d6 zenon_H26 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_H72 zenon_H244 zenon_Hbb zenon_Hbd zenon_H21d zenon_H21e zenon_H21f zenon_H22e zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.13 apply (zenon_L394_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.96/1.13 apply (zenon_L410_); trivial. % 0.96/1.13 apply (zenon_L351_); trivial. % 0.96/1.13 (* end of lemma zenon_L411_ *) % 0.96/1.13 assert (zenon_L412_ : ((ndr1_0)/\((c0_1 (a2285))/\((c1_1 (a2285))/\(~(c3_1 (a2285)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a2286))/\((~(c0_1 (a2286)))/\(~(c2_1 (a2286))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H27f zenon_H280 zenon_H20d zenon_H1f8 zenon_H183 zenon_H178 zenon_H1e7 zenon_H1c3 zenon_H22 zenon_H3a zenon_H173 zenon_H69 zenon_H71 zenon_H167 zenon_Hed zenon_H26 zenon_H50 zenon_H246 zenon_H1d6 zenon_H138 zenon_H244 zenon_Hf8 zenon_H119 zenon_H15f zenon_H1d5 zenon_H242 zenon_H1e5 zenon_H1c7 zenon_H266 zenon_H6e zenon_H15b zenon_Hf5 zenon_H72 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_Hbb zenon_Hbd zenon_H22e zenon_H107 zenon_H7f zenon_Hde zenon_Hf3 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Ha8 zenon_H184 zenon_H1ee zenon_H159 zenon_H17c zenon_H198 zenon_H234 zenon_H218. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.13 apply (zenon_L392_); trivial. % 0.96/1.13 apply (zenon_L399_); trivial. % 0.96/1.13 apply (zenon_L216_); trivial. % 0.96/1.13 apply (zenon_L193_); trivial. % 0.96/1.13 apply (zenon_L408_); trivial. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.13 apply (zenon_L392_); trivial. % 0.96/1.13 apply (zenon_L411_); trivial. % 0.96/1.13 apply (zenon_L216_); trivial. % 0.96/1.13 apply (zenon_L193_); trivial. % 0.96/1.13 apply (zenon_L408_); trivial. % 0.96/1.13 (* end of lemma zenon_L412_ *) % 0.96/1.13 assert (zenon_L413_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> False). % 0.96/1.13 do 0 intro. intros zenon_Hb1 zenon_H12 zenon_H286 zenon_H287 zenon_H288. % 0.96/1.13 generalize (zenon_Hb1 (a2280)). zenon_intro zenon_H289. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H289); [ zenon_intro zenon_H11 | zenon_intro zenon_H28a ]. % 0.96/1.13 exact (zenon_H11 zenon_H12). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H28c | zenon_intro zenon_H28b ]. % 0.96/1.13 exact (zenon_H286 zenon_H28c). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H28e | zenon_intro zenon_H28d ]. % 0.96/1.13 exact (zenon_H28e zenon_H287). % 0.96/1.13 exact (zenon_H28d zenon_H288). % 0.96/1.13 (* end of lemma zenon_L413_ *) % 0.96/1.13 assert (zenon_L414_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp21)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_Hd zenon_H7d. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H290 ]. % 0.96/1.13 apply (zenon_L413_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_He | zenon_intro zenon_H7e ]. % 0.96/1.13 exact (zenon_Hd zenon_He). % 0.96/1.13 exact (zenon_H7d zenon_H7e). % 0.96/1.13 (* end of lemma zenon_L414_ *) % 0.96/1.13 assert (zenon_L415_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp23)) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_H12 zenon_H286 zenon_H287 zenon_H288 zenon_H7d zenon_H28f. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.96/1.13 apply (zenon_L414_); trivial. % 0.96/1.13 apply (zenon_L13_); trivial. % 0.96/1.13 (* end of lemma zenon_L415_ *) % 0.96/1.13 assert (zenon_L416_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H3a zenon_H36 zenon_H33 zenon_H31 zenon_H28f zenon_H7d zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H1f zenon_H22 zenon_H26. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.96/1.13 apply (zenon_L415_); trivial. % 0.96/1.13 apply (zenon_L18_); trivial. % 0.96/1.13 (* end of lemma zenon_L416_ *) % 0.96/1.13 assert (zenon_L417_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(hskp27)) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp21)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H26 zenon_H50 zenon_H4e zenon_H4c zenon_H12 zenon_H286 zenon_H287 zenon_H288 zenon_H7d zenon_H28f. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.96/1.13 apply (zenon_L414_); trivial. % 0.96/1.13 apply (zenon_L26_); trivial. % 0.96/1.13 (* end of lemma zenon_L417_ *) % 0.96/1.13 assert (zenon_L418_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H6d zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_H26 zenon_H50 zenon_H4e zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H66 zenon_H69 zenon_H6e. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.96/1.13 apply (zenon_L417_); trivial. % 0.96/1.13 apply (zenon_L31_); trivial. % 0.96/1.13 apply (zenon_L58_); trivial. % 0.96/1.13 (* end of lemma zenon_L418_ *) % 0.96/1.13 assert (zenon_L419_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp13)) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H71 zenon_H50 zenon_H4e zenon_H66 zenon_H69 zenon_H6e zenon_H72 zenon_H47 zenon_H5 zenon_H45 zenon_H26 zenon_H22 zenon_H12 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H31 zenon_H36 zenon_H3a zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.13 apply (zenon_L416_); trivial. % 0.96/1.13 apply (zenon_L23_); trivial. % 0.96/1.13 apply (zenon_L58_); trivial. % 0.96/1.13 apply (zenon_L418_); trivial. % 0.96/1.13 (* end of lemma zenon_L419_ *) % 0.96/1.13 assert (zenon_L420_ : ((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp1)) -> False). % 0.96/1.13 do 0 intro. intros zenon_Hcf zenon_Hbd zenon_H288 zenon_H287 zenon_H286 zenon_Hbb. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Had | zenon_intro zenon_Hbe ]. % 0.96/1.13 apply (zenon_L47_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 0.96/1.13 apply (zenon_L413_); trivial. % 0.96/1.13 exact (zenon_Hbb zenon_Hbc). % 0.96/1.13 (* end of lemma zenon_L420_ *) % 0.96/1.13 assert (zenon_L421_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> False). % 0.96/1.13 do 0 intro. intros zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H74 zenon_H75 zenon_H76 zenon_H7d zenon_H7f. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.96/1.13 apply (zenon_L36_); trivial. % 0.96/1.13 apply (zenon_L420_); trivial. % 0.96/1.13 (* end of lemma zenon_L421_ *) % 0.96/1.13 assert (zenon_L422_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_Hf4 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.13 apply (zenon_L421_); trivial. % 0.96/1.13 apply (zenon_L58_); trivial. % 0.96/1.13 (* end of lemma zenon_L422_ *) % 0.96/1.13 assert (zenon_L423_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp13)) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H71 zenon_H50 zenon_H4e zenon_H69 zenon_H6e zenon_H72 zenon_H47 zenon_H5 zenon_H45 zenon_H26 zenon_H22 zenon_H12 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H31 zenon_H36 zenon_H3a zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf5 zenon_Hbd zenon_H7f zenon_Hf8. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.13 apply (zenon_L419_); trivial. % 0.96/1.13 apply (zenon_L422_); trivial. % 0.96/1.13 apply (zenon_L126_); trivial. % 0.96/1.13 (* end of lemma zenon_L423_ *) % 0.96/1.13 assert (zenon_L424_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a2323))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp4)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H291 zenon_H10b zenon_H10a zenon_Had zenon_H109 zenon_H12 zenon_H33 zenon_H45. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H143 | zenon_intro zenon_H292 ]. % 0.96/1.13 apply (zenon_L139_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H34 | zenon_intro zenon_H46 ]. % 0.96/1.13 exact (zenon_H33 zenon_H34). % 0.96/1.13 exact (zenon_H45 zenon_H46). % 0.96/1.13 (* end of lemma zenon_L424_ *) % 0.96/1.13 assert (zenon_L425_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp4)) -> (~(hskp19)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H116 zenon_H1c3 zenon_H45 zenon_H33 zenon_H291 zenon_H286 zenon_H287 zenon_H288. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.96/1.13 apply (zenon_L424_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.96/1.13 apply (zenon_L75_); trivial. % 0.96/1.13 apply (zenon_L413_); trivial. % 0.96/1.13 (* end of lemma zenon_L425_ *) % 0.96/1.13 assert (zenon_L426_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp4)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H138 zenon_H119 zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H45 zenon_H291 zenon_Hac zenon_Ha5 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H87 zenon_H107 zenon_Hca zenon_Hce zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3 zenon_H71. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.13 apply (zenon_L87_); trivial. % 0.96/1.13 apply (zenon_L425_); trivial. % 0.96/1.13 apply (zenon_L64_); trivial. % 0.96/1.13 apply (zenon_L109_); trivial. % 0.96/1.13 (* end of lemma zenon_L426_ *) % 0.96/1.13 assert (zenon_L427_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_Hf4 zenon_Hf3 zenon_H167 zenon_H85 zenon_H165 zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.96/1.13 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.13 apply (zenon_L421_); trivial. % 0.96/1.13 apply (zenon_L106_); trivial. % 0.96/1.13 (* end of lemma zenon_L427_ *) % 0.96/1.13 assert (zenon_L428_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c2_1 (a2342))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c2_1 (a2299)) -> (~(c1_1 (a2299))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c3_1 (a2299))) -> (ndr1_0) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H1e7 zenon_H28 zenon_H29 zenon_H2a zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H12e zenon_H12c zenon_Had zenon_H12d zenon_H12 zenon_H16a zenon_H16b zenon_H16c. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.96/1.13 apply (zenon_L291_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.96/1.13 apply (zenon_L243_); trivial. % 0.96/1.13 apply (zenon_L110_); trivial. % 0.96/1.13 (* end of lemma zenon_L428_ *) % 0.96/1.13 assert (zenon_L429_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H35 zenon_H1c3 zenon_H16c zenon_H16b zenon_H16a zenon_H12d zenon_H12c zenon_H12e zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H1e7 zenon_H10b zenon_H10a zenon_H109 zenon_H286 zenon_H287 zenon_H288. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.96/1.13 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.96/1.13 apply (zenon_L428_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.96/1.13 apply (zenon_L75_); trivial. % 0.96/1.13 apply (zenon_L413_); trivial. % 0.96/1.13 (* end of lemma zenon_L429_ *) % 0.96/1.13 assert (zenon_L430_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(c3_1 (a2303))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.96/1.13 do 0 intro. intros zenon_H3a zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H10b zenon_H10a zenon_H109 zenon_H242 zenon_H16c zenon_H16b zenon_H76 zenon_H75 zenon_H74 zenon_H16a zenon_H1e7 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H1f zenon_H22 zenon_H26. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.96/1.13 apply (zenon_L261_); trivial. % 0.96/1.13 apply (zenon_L429_); trivial. % 0.96/1.13 (* end of lemma zenon_L430_ *) % 0.96/1.13 assert (zenon_L431_ : (forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66)))))) -> (ndr1_0) -> (~(c2_1 (a2316))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(c3_1 (a2316))) -> (c1_1 (a2316)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H14d zenon_H12 zenon_H5d zenon_He3 zenon_H5e zenon_H5f. % 0.96/1.13 generalize (zenon_H14d (a2316)). zenon_intro zenon_H293. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H293); [ zenon_intro zenon_H11 | zenon_intro zenon_H294 ]. % 0.96/1.13 exact (zenon_H11 zenon_H12). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H63 | zenon_intro zenon_Hec ]. % 0.96/1.13 exact (zenon_H5d zenon_H63). % 0.96/1.13 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_He4 | zenon_intro zenon_H64 ]. % 0.96/1.13 apply (zenon_L59_); trivial. % 0.96/1.13 exact (zenon_H64 zenon_H5f). % 0.96/1.13 (* end of lemma zenon_L431_ *) % 0.96/1.13 assert (zenon_L432_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a2323))) -> (c1_1 (a2316)) -> (~(c3_1 (a2316))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(c2_1 (a2316))) -> (ndr1_0) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> (c3_1 (a2278)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H157 zenon_H10b zenon_H10a zenon_Had zenon_H109 zenon_H5f zenon_H5e zenon_He3 zenon_H5d zenon_H12 zenon_H9a zenon_H9b zenon_H9c. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 0.96/1.13 apply (zenon_L139_); trivial. % 0.96/1.13 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 0.96/1.13 apply (zenon_L431_); trivial. % 0.96/1.13 apply (zenon_L42_); trivial. % 0.96/1.13 (* end of lemma zenon_L432_ *) % 0.96/1.13 assert (zenon_L433_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (c2_1 (a2302)) -> False). % 0.96/1.13 do 0 intro. intros zenon_H52 zenon_H12 zenon_H123 zenon_Had zenon_H124. % 0.96/1.13 generalize (zenon_H52 (a2302)). zenon_intro zenon_H295. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H295); [ zenon_intro zenon_H11 | zenon_intro zenon_H296 ]. % 0.96/1.13 exact (zenon_H11 zenon_H12). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H129 | zenon_intro zenon_H297 ]. % 0.96/1.13 exact (zenon_H123 zenon_H129). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H298 | zenon_intro zenon_H12b ]. % 0.96/1.13 generalize (zenon_Had (a2302)). zenon_intro zenon_H299. % 0.96/1.13 apply (zenon_imply_s _ _ zenon_H299); [ zenon_intro zenon_H11 | zenon_intro zenon_H29a ]. % 0.96/1.13 exact (zenon_H11 zenon_H12). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H129 | zenon_intro zenon_H29b ]. % 0.96/1.13 exact (zenon_H123 zenon_H129). % 0.96/1.13 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H29c | zenon_intro zenon_H12b ]. % 0.96/1.13 exact (zenon_H298 zenon_H29c). % 0.96/1.13 exact (zenon_H12b zenon_H124). % 0.96/1.14 exact (zenon_H12b zenon_H124). % 0.96/1.14 (* end of lemma zenon_L433_ *) % 0.96/1.14 assert (zenon_L434_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (c3_1 (a2327)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2316)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> False). % 0.96/1.14 do 0 intro. intros zenon_Ha7 zenon_H1c3 zenon_H124 zenon_H123 zenon_H3c zenon_H3d zenon_H3e zenon_H157 zenon_H5f zenon_H5e zenon_H5d zenon_H1d6 zenon_H10b zenon_H10a zenon_H109 zenon_H286 zenon_H287 zenon_H288. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 0.96/1.14 apply (zenon_L432_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 0.96/1.14 apply (zenon_L20_); trivial. % 0.96/1.14 apply (zenon_L433_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.96/1.14 apply (zenon_L75_); trivial. % 0.96/1.14 apply (zenon_L413_); trivial. % 0.96/1.14 (* end of lemma zenon_L434_ *) % 0.96/1.14 assert (zenon_L435_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a2345))) -> (~(c0_1 (a2345))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H1c3 zenon_Hb2 zenon_Hc1 zenon_Hc0 zenon_H10b zenon_H10a zenon_H109 zenon_H12 zenon_H286 zenon_H287 zenon_H288. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.96/1.14 apply (zenon_L171_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.96/1.14 apply (zenon_L75_); trivial. % 0.96/1.14 apply (zenon_L413_); trivial. % 0.96/1.14 (* end of lemma zenon_L435_ *) % 0.96/1.14 assert (zenon_L436_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(c0_1 (a2345))) -> (~(c1_1 (a2345))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H216 zenon_H109 zenon_H10a zenon_H10b zenon_Hc0 zenon_Hc1 zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H81. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 0.96/1.14 apply (zenon_L435_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 0.96/1.14 apply (zenon_L413_); trivial. % 0.96/1.14 exact (zenon_H81 zenon_H82). % 0.96/1.14 (* end of lemma zenon_L436_ *) % 0.96/1.14 assert (zenon_L437_ : (~(hskp5)) -> (hskp5) -> False). % 0.96/1.14 do 0 intro. intros zenon_H29d zenon_H29e. % 0.96/1.14 exact (zenon_H29d zenon_H29e). % 0.96/1.14 (* end of lemma zenon_L437_ *) % 0.96/1.14 assert (zenon_L438_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (c1_1 (a2316)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hc9 zenon_Hac zenon_H1d6 zenon_H16c zenon_H16b zenon_H16a zenon_H3e zenon_H3d zenon_H3c zenon_H5d zenon_H5e zenon_H5f zenon_H157 zenon_H29d zenon_H29f zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H10b zenon_H10a zenon_H109 zenon_H216. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.96/1.14 apply (zenon_L436_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_Hbf | zenon_intro zenon_H2a0 ]. % 0.96/1.14 apply (zenon_L51_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H29e ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 0.96/1.14 apply (zenon_L432_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 0.96/1.14 apply (zenon_L20_); trivial. % 0.96/1.14 apply (zenon_L188_); trivial. % 0.96/1.14 exact (zenon_H29d zenon_H29e). % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.96/1.14 apply (zenon_L75_); trivial. % 0.96/1.14 apply (zenon_L413_); trivial. % 0.96/1.14 (* end of lemma zenon_L438_ *) % 0.96/1.14 assert (zenon_L439_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H6d zenon_H119 zenon_H72 zenon_Hce zenon_H29d zenon_H29f zenon_H216 zenon_H87 zenon_H85 zenon_H1d6 zenon_H157 zenon_Hac zenon_H26 zenon_H22 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H1e7 zenon_H16a zenon_H74 zenon_H75 zenon_H76 zenon_H16b zenon_H16c zenon_H242 zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.14 apply (zenon_L83_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.14 apply (zenon_L430_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.96/1.14 apply (zenon_L40_); trivial. % 0.96/1.14 apply (zenon_L434_); trivial. % 0.96/1.14 apply (zenon_L438_); trivial. % 0.96/1.14 (* end of lemma zenon_L439_ *) % 0.96/1.14 assert (zenon_L440_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hf8 zenon_H119 zenon_H72 zenon_Hce zenon_H29d zenon_H29f zenon_H216 zenon_H87 zenon_H85 zenon_H1d6 zenon_H157 zenon_Hac zenon_H22 zenon_H1e7 zenon_H242 zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_H3a zenon_H107 zenon_H173 zenon_H161 zenon_H16c zenon_H16b zenon_H16a zenon_H12 zenon_H26 zenon_H50 zenon_H4e zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H69 zenon_H6e zenon_H71. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.14 apply (zenon_L111_); trivial. % 0.96/1.14 apply (zenon_L248_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.14 apply (zenon_L111_); trivial. % 0.96/1.14 apply (zenon_L439_); trivial. % 0.96/1.14 (* end of lemma zenon_L440_ *) % 0.96/1.14 assert (zenon_L441_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp4)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H17b zenon_H178 zenon_H161 zenon_H173 zenon_H3a zenon_H242 zenon_H1e7 zenon_H22 zenon_Hac zenon_H157 zenon_H1d6 zenon_H87 zenon_H216 zenon_H29f zenon_H29d zenon_Hce zenon_H72 zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H7f zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H119 zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H45 zenon_H291 zenon_H107 zenon_H26 zenon_H50 zenon_H4e zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H69 zenon_H6e zenon_H71 zenon_H9 zenon_Hef zenon_Hf1 zenon_H138. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.14 apply (zenon_L83_); trivial. % 0.96/1.14 apply (zenon_L425_); trivial. % 0.96/1.14 apply (zenon_L248_); trivial. % 0.96/1.14 apply (zenon_L427_); trivial. % 0.96/1.14 apply (zenon_L109_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.14 apply (zenon_L440_); trivial. % 0.96/1.14 apply (zenon_L109_); trivial. % 0.96/1.14 (* end of lemma zenon_L441_ *) % 0.96/1.14 assert (zenon_L442_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H183 zenon_H178 zenon_H161 zenon_H173 zenon_H242 zenon_H1e7 zenon_H157 zenon_H1d6 zenon_H216 zenon_H29f zenon_H29d zenon_H167 zenon_H246 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hce zenon_Hca zenon_H107 zenon_H87 zenon_Ha3 zenon_Ha5 zenon_Hac zenon_H291 zenon_H1c3 zenon_H119 zenon_H138 zenon_Hf8 zenon_H7f zenon_Hbd zenon_Hf5 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H22 zenon_H26 zenon_H45 zenon_H47 zenon_H72 zenon_H6e zenon_H69 zenon_H4e zenon_H50 zenon_H71 zenon_Ha8 zenon_H184. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.14 apply (zenon_L423_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.14 apply (zenon_L426_); trivial. % 0.96/1.14 apply (zenon_L441_); trivial. % 0.96/1.14 (* end of lemma zenon_L442_ *) % 0.96/1.14 assert (zenon_L443_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp19)) -> (~(hskp4)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H119 zenon_H1c3 zenon_H33 zenon_H45 zenon_H291 zenon_H15b zenon_Hce zenon_Hca zenon_Ha3 zenon_H107 zenon_H87 zenon_H85 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H5 zenon_H7 zenon_H286 zenon_H287 zenon_H288 zenon_Hbd zenon_Hf5. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.96/1.14 apply (zenon_L98_); trivial. % 0.96/1.14 apply (zenon_L420_); trivial. % 0.96/1.14 apply (zenon_L425_); trivial. % 0.96/1.14 (* end of lemma zenon_L443_ *) % 0.96/1.14 assert (zenon_L444_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> False). % 0.96/1.14 do 0 intro. intros zenon_Ha7 zenon_H1c3 zenon_Hbb zenon_H157 zenon_H13a zenon_H13b zenon_H13c zenon_H159 zenon_H10b zenon_H10a zenon_H109 zenon_H286 zenon_H287 zenon_H288. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.96/1.14 apply (zenon_L141_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.96/1.14 apply (zenon_L75_); trivial. % 0.96/1.14 apply (zenon_L413_); trivial. % 0.96/1.14 (* end of lemma zenon_L444_ *) % 0.96/1.14 assert (zenon_L445_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hc9 zenon_Hac zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H10b zenon_H10a zenon_H109 zenon_H216. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.96/1.14 apply (zenon_L436_); trivial. % 0.96/1.14 apply (zenon_L444_); trivial. % 0.96/1.14 (* end of lemma zenon_L445_ *) % 0.96/1.14 assert (zenon_L446_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H116 zenon_Hce zenon_H216 zenon_H87 zenon_H85 zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_Hac. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.96/1.14 apply (zenon_L40_); trivial. % 0.96/1.14 apply (zenon_L444_); trivial. % 0.96/1.14 apply (zenon_L445_); trivial. % 0.96/1.14 (* end of lemma zenon_L446_ *) % 0.96/1.14 assert (zenon_L447_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H119 zenon_Hce zenon_H216 zenon_H87 zenon_H85 zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_Hac zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.14 apply (zenon_L83_); trivial. % 0.96/1.14 apply (zenon_L446_); trivial. % 0.96/1.14 (* end of lemma zenon_L447_ *) % 0.96/1.14 assert (zenon_L448_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H17b zenon_H138 zenon_Hf1 zenon_Hef zenon_H9 zenon_H107 zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H119. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.14 apply (zenon_L447_); trivial. % 0.96/1.14 apply (zenon_L109_); trivial. % 0.96/1.14 (* end of lemma zenon_L448_ *) % 0.96/1.14 assert (zenon_L449_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H180 zenon_H184 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H159 zenon_H216 zenon_H71 zenon_Hf3 zenon_Hde zenon_Hbb zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hce zenon_Hca zenon_H107 zenon_H87 zenon_Ha3 zenon_Ha5 zenon_Hac zenon_H291 zenon_H45 zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_H119 zenon_H138. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.14 apply (zenon_L426_); trivial. % 0.96/1.14 apply (zenon_L448_); trivial. % 0.96/1.14 (* end of lemma zenon_L449_ *) % 0.96/1.14 assert (zenon_L450_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H195 zenon_H183 zenon_Hed zenon_Ha5 zenon_H138 zenon_Hf1 zenon_Hef zenon_H71 zenon_H6e zenon_H69 zenon_Hf zenon_Hb zenon_H9 zenon_H4e zenon_H50 zenon_H26 zenon_Hf5 zenon_Hbd zenon_H288 zenon_H287 zenon_H286 zenon_H7 zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H87 zenon_H107 zenon_Ha3 zenon_Hca zenon_Hce zenon_H15b zenon_H291 zenon_H45 zenon_H1c3 zenon_H119 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H216 zenon_H184. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.14 apply (zenon_L443_); trivial. % 0.96/1.14 apply (zenon_L32_); trivial. % 0.96/1.14 apply (zenon_L422_); trivial. % 0.96/1.14 apply (zenon_L109_); trivial. % 0.96/1.14 apply (zenon_L448_); trivial. % 0.96/1.14 apply (zenon_L449_); trivial. % 0.96/1.14 (* end of lemma zenon_L450_ *) % 0.96/1.14 assert (zenon_L451_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H198 zenon_Hf zenon_Hb zenon_H7 zenon_H159 zenon_H15b zenon_H184 zenon_Ha8 zenon_H71 zenon_H50 zenon_H4e zenon_H69 zenon_H6e zenon_H72 zenon_H47 zenon_H45 zenon_H26 zenon_H22 zenon_H12 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H36 zenon_H3a zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf5 zenon_Hbd zenon_H7f zenon_Hf8 zenon_H138 zenon_H119 zenon_H1c3 zenon_H291 zenon_Hac zenon_Ha5 zenon_Ha3 zenon_H87 zenon_H107 zenon_Hca zenon_Hce zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H246 zenon_H167 zenon_H29d zenon_H29f zenon_H216 zenon_H1d6 zenon_H157 zenon_H1e7 zenon_H242 zenon_H173 zenon_H161 zenon_H178 zenon_H183. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.14 apply (zenon_L442_); trivial. % 0.96/1.14 apply (zenon_L450_); trivial. % 0.96/1.14 (* end of lemma zenon_L451_ *) % 0.96/1.14 assert (zenon_L452_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H49 zenon_H6e zenon_H1d6 zenon_H11c zenon_H11b zenon_H11a zenon_H28f zenon_H7d zenon_H288 zenon_H287 zenon_H286 zenon_H4e zenon_H50 zenon_H26. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.96/1.14 apply (zenon_L417_); trivial. % 0.96/1.14 apply (zenon_L152_); trivial. % 0.96/1.14 (* end of lemma zenon_L452_ *) % 0.96/1.14 assert (zenon_L453_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H135 zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hac zenon_H1ee zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_Hbb zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H4e zenon_Hf9 zenon_H26 zenon_H50 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H1d6 zenon_H6e zenon_H72. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.14 apply (zenon_L166_); trivial. % 0.96/1.14 apply (zenon_L452_); trivial. % 0.96/1.14 apply (zenon_L58_); trivial. % 0.96/1.14 (* end of lemma zenon_L453_ *) % 0.96/1.14 assert (zenon_L454_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H17b zenon_H138 zenon_H4e zenon_Hf9 zenon_H107 zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H119. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.14 apply (zenon_L447_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.14 apply (zenon_L83_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.96/1.14 apply (zenon_L89_); trivial. % 0.96/1.14 apply (zenon_L444_); trivial. % 0.96/1.14 (* end of lemma zenon_L454_ *) % 0.96/1.14 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp4)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H195 zenon_H183 zenon_Ha5 zenon_H138 zenon_H1ee zenon_H187 zenon_H185 zenon_H186 zenon_H4e zenon_Hf9 zenon_H26 zenon_H50 zenon_H28f zenon_H1d6 zenon_H6e zenon_H72 zenon_H119 zenon_H1c3 zenon_H45 zenon_H291 zenon_H15b zenon_Hce zenon_Hca zenon_Ha3 zenon_H107 zenon_H87 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H7 zenon_H286 zenon_H287 zenon_H288 zenon_Hbd zenon_Hf5 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_Hde zenon_Hf3 zenon_H71 zenon_H216 zenon_H184. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.14 apply (zenon_L443_); trivial. % 0.96/1.14 apply (zenon_L64_); trivial. % 0.96/1.14 apply (zenon_L453_); trivial. % 0.96/1.14 apply (zenon_L454_); trivial. % 0.96/1.14 apply (zenon_L449_); trivial. % 0.96/1.14 (* end of lemma zenon_L455_ *) % 0.96/1.14 assert (zenon_L456_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hf8 zenon_H72 zenon_Hce zenon_H29d zenon_H29f zenon_H216 zenon_H87 zenon_H85 zenon_H1d6 zenon_H157 zenon_Hac zenon_H22 zenon_H242 zenon_H286 zenon_H287 zenon_H288 zenon_H3a zenon_H119 zenon_H6e zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H16a zenon_H16b zenon_H16c zenon_H1e7 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H69 zenon_H71. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.14 apply (zenon_L350_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.14 apply (zenon_L349_); trivial. % 0.96/1.14 apply (zenon_L439_); trivial. % 0.96/1.14 (* end of lemma zenon_L456_ *) % 0.96/1.14 assert (zenon_L457_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H175 zenon_H138 zenon_Hf1 zenon_Hef zenon_H9 zenon_H71 zenon_H69 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H26 zenon_H50 zenon_H4e zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H1e7 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H6e zenon_H119 zenon_H3a zenon_H288 zenon_H287 zenon_H286 zenon_H242 zenon_H22 zenon_Hac zenon_H157 zenon_H1d6 zenon_H87 zenon_H216 zenon_H29f zenon_H29d zenon_Hce zenon_H72 zenon_Hf8. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.14 apply (zenon_L456_); trivial. % 0.96/1.14 apply (zenon_L109_); trivial. % 0.96/1.14 (* end of lemma zenon_L457_ *) % 0.96/1.14 assert (zenon_L458_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H17b zenon_H178 zenon_H69 zenon_H26 zenon_H50 zenon_H4e zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H1e7 zenon_H6e zenon_H3a zenon_H288 zenon_H287 zenon_H286 zenon_H242 zenon_H22 zenon_Hac zenon_H157 zenon_H1d6 zenon_H87 zenon_H216 zenon_H29f zenon_H29d zenon_Hce zenon_H72 zenon_Hf8 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H291 zenon_H45 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H119 zenon_H138. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.14 apply (zenon_L83_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.96/1.14 apply (zenon_L424_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.96/1.14 apply (zenon_L75_); trivial. % 0.96/1.14 apply (zenon_L194_); trivial. % 0.96/1.14 apply (zenon_L199_); trivial. % 0.96/1.14 apply (zenon_L109_); trivial. % 0.96/1.14 apply (zenon_L457_); trivial. % 0.96/1.14 (* end of lemma zenon_L458_ *) % 0.96/1.14 assert (zenon_L459_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H183 zenon_H178 zenon_H246 zenon_H1e7 zenon_H242 zenon_H157 zenon_H1d6 zenon_H216 zenon_H29f zenon_H29d zenon_H167 zenon_H20d zenon_H202 zenon_H201 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hce zenon_Hca zenon_H107 zenon_H87 zenon_Ha3 zenon_Ha5 zenon_Hac zenon_H291 zenon_H1c3 zenon_H119 zenon_H138 zenon_Hf8 zenon_H7f zenon_Hbd zenon_Hf5 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H22 zenon_H26 zenon_H45 zenon_H47 zenon_H72 zenon_H6e zenon_H69 zenon_H4e zenon_H50 zenon_H71 zenon_Ha8 zenon_H184. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.14 apply (zenon_L423_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.14 apply (zenon_L426_); trivial. % 0.96/1.14 apply (zenon_L458_); trivial. % 0.96/1.14 (* end of lemma zenon_L459_ *) % 0.96/1.14 assert (zenon_L460_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H198 zenon_Hf zenon_Hb zenon_H7 zenon_H159 zenon_H15b zenon_H184 zenon_Ha8 zenon_H71 zenon_H50 zenon_H4e zenon_H69 zenon_H6e zenon_H72 zenon_H47 zenon_H45 zenon_H26 zenon_H22 zenon_H12 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H36 zenon_H3a zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf5 zenon_Hbd zenon_H7f zenon_Hf8 zenon_H138 zenon_H119 zenon_H1c3 zenon_H291 zenon_Hac zenon_Ha5 zenon_Ha3 zenon_H87 zenon_H107 zenon_Hca zenon_Hce zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H201 zenon_H202 zenon_H20d zenon_H167 zenon_H29d zenon_H29f zenon_H216 zenon_H1d6 zenon_H157 zenon_H242 zenon_H1e7 zenon_H246 zenon_H178 zenon_H183. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.14 apply (zenon_L459_); trivial. % 0.96/1.14 apply (zenon_L450_); trivial. % 0.96/1.14 (* end of lemma zenon_L460_ *) % 0.96/1.14 assert (zenon_L461_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(c2_1 (a2342))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp12)) -> (~(hskp13)) -> False). % 0.96/1.14 do 0 intro. intros zenon_H21 zenon_Ha8 zenon_H28 zenon_H29 zenon_H2a zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H31 zenon_H5. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H8b | zenon_intro zenon_Hab ]. % 0.96/1.14 apply (zenon_L309_); trivial. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H32 | zenon_intro zenon_H6 ]. % 0.96/1.14 exact (zenon_H31 zenon_H32). % 0.96/1.14 exact (zenon_H5 zenon_H6). % 0.96/1.14 (* end of lemma zenon_L461_ *) % 0.96/1.14 assert (zenon_L462_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H3a zenon_Ha8 zenon_H5 zenon_H31 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H28f zenon_H7d zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H1f zenon_H22 zenon_H26. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.96/1.14 apply (zenon_L415_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 0.96/1.14 apply (zenon_L414_); trivial. % 0.96/1.14 apply (zenon_L461_); trivial. % 0.96/1.14 (* end of lemma zenon_L462_ *) % 0.96/1.14 assert (zenon_L463_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_Hf4 zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_H3a zenon_Ha8 zenon_H5 zenon_H31 zenon_H242 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H11a zenon_H11b zenon_H11c zenon_H1d6 zenon_H6e zenon_H72. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.96/1.14 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.14 apply (zenon_L462_); trivial. % 0.96/1.14 apply (zenon_L452_); trivial. % 0.96/1.14 apply (zenon_L58_); trivial. % 0.96/1.14 (* end of lemma zenon_L463_ *) % 0.96/1.14 assert (zenon_L464_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp4)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_Ha8 zenon_H242 zenon_H1d6 zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H22 zenon_H26 zenon_H45 zenon_H5 zenon_H47 zenon_H72 zenon_H6e zenon_H69 zenon_H4e zenon_H50 zenon_H71. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.14 apply (zenon_L419_); trivial. % 0.96/1.14 apply (zenon_L463_); trivial. % 0.96/1.14 (* end of lemma zenon_L464_ *) % 0.96/1.14 assert (zenon_L465_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (ndr1_0) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp13)) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H184 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H12 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H71 zenon_H50 zenon_H4e zenon_H69 zenon_H6e zenon_H72 zenon_H47 zenon_H5 zenon_H45 zenon_H26 zenon_H22 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H31 zenon_H36 zenon_H3a zenon_H1d6 zenon_H242 zenon_Ha8 zenon_Hf8 zenon_H138. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.14 apply (zenon_L210_); trivial. % 0.96/1.14 apply (zenon_L464_); trivial. % 0.96/1.14 apply (zenon_L126_); trivial. % 0.96/1.14 (* end of lemma zenon_L465_ *) % 0.96/1.14 assert (zenon_L466_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H135 zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_H22e zenon_H21f zenon_H21e zenon_H21d zenon_H12e zenon_H12d zenon_H12c zenon_H26 zenon_H50 zenon_H4e zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H1d6 zenon_H6e zenon_H72. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.14 apply (zenon_L393_); trivial. % 0.96/1.14 apply (zenon_L452_); trivial. % 0.96/1.14 apply (zenon_L58_); trivial. % 0.96/1.14 (* end of lemma zenon_L466_ *) % 0.96/1.14 assert (zenon_L467_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H138 zenon_H22e zenon_H12e zenon_H12d zenon_H12c zenon_H26 zenon_H50 zenon_H4e zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H1d6 zenon_H6e zenon_H72 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.14 apply (zenon_L210_); trivial. % 0.96/1.14 apply (zenon_L466_); trivial. % 0.96/1.14 (* end of lemma zenon_L467_ *) % 0.96/1.14 assert (zenon_L468_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H180 zenon_H184 zenon_H178 zenon_H71 zenon_H69 zenon_H161 zenon_H173 zenon_H107 zenon_H3a zenon_H1c3 zenon_H242 zenon_H1e7 zenon_H22 zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H29f zenon_H29d zenon_Hce zenon_H119 zenon_Hf8 zenon_H167 zenon_H246 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H72 zenon_H6e zenon_H1d6 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H4e zenon_H50 zenon_H26 zenon_H22e zenon_H138. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.14 apply (zenon_L467_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.96/1.14 apply (zenon_L398_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.14 apply (zenon_L440_); trivial. % 0.96/1.14 apply (zenon_L397_); trivial. % 0.96/1.14 (* end of lemma zenon_L468_ *) % 0.96/1.14 assert (zenon_L469_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H183 zenon_H178 zenon_H161 zenon_H173 zenon_H107 zenon_H1c3 zenon_H1e7 zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H29f zenon_H29d zenon_Hce zenon_H119 zenon_H167 zenon_H246 zenon_H22e zenon_H138 zenon_Hf8 zenon_Ha8 zenon_H242 zenon_H1d6 zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H22 zenon_H26 zenon_H45 zenon_H47 zenon_H72 zenon_H6e zenon_H69 zenon_H4e zenon_H50 zenon_H71 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_Hbb zenon_Hde zenon_Hf3 zenon_H184. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.14 apply (zenon_L465_); trivial. % 0.96/1.14 apply (zenon_L468_); trivial. % 0.96/1.14 (* end of lemma zenon_L469_ *) % 0.96/1.14 assert (zenon_L470_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.96/1.14 do 0 intro. intros zenon_H138 zenon_H159 zenon_H1ee zenon_H13c zenon_H13b zenon_H13a zenon_H26 zenon_H50 zenon_H4e zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H1d6 zenon_H6e zenon_H72 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.14 apply (zenon_L210_); trivial. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.96/1.14 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.96/1.14 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.14 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.14 apply (zenon_L214_); trivial. % 0.96/1.14 apply (zenon_L452_); trivial. % 0.96/1.14 apply (zenon_L58_); trivial. % 0.96/1.14 (* end of lemma zenon_L470_ *) % 0.96/1.14 assert (zenon_L471_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H195 zenon_H184 zenon_Hf9 zenon_H107 zenon_Hac zenon_H1c3 zenon_H157 zenon_H87 zenon_H216 zenon_Hce zenon_H119 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H72 zenon_H6e zenon_H1d6 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H4e zenon_H50 zenon_H26 zenon_H1ee zenon_H159 zenon_H138. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_L470_); trivial. % 0.96/1.15 apply (zenon_L454_); trivial. % 0.96/1.15 (* end of lemma zenon_L471_ *) % 0.96/1.15 assert (zenon_L472_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H17b zenon_H178 zenon_H71 zenon_H69 zenon_H107 zenon_H1e7 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H119 zenon_H3a zenon_H288 zenon_H287 zenon_H286 zenon_H242 zenon_H22 zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H29f zenon_H29d zenon_Hce zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H22e zenon_H12e zenon_H12d zenon_H12c zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.96/1.15 apply (zenon_L398_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.15 apply (zenon_L456_); trivial. % 0.96/1.15 apply (zenon_L397_); trivial. % 0.96/1.15 (* end of lemma zenon_L472_ *) % 0.96/1.15 assert (zenon_L473_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H180 zenon_H184 zenon_H178 zenon_H71 zenon_H69 zenon_H107 zenon_H1e7 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H119 zenon_H3a zenon_H242 zenon_H22 zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H29f zenon_H29d zenon_Hce zenon_Hf8 zenon_H167 zenon_H246 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H72 zenon_H6e zenon_H1d6 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H4e zenon_H50 zenon_H26 zenon_H22e zenon_H138. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_L467_); trivial. % 0.96/1.15 apply (zenon_L472_); trivial. % 0.96/1.15 (* end of lemma zenon_L473_ *) % 0.96/1.15 assert (zenon_L474_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H183 zenon_H178 zenon_H107 zenon_H1e7 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H119 zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H29f zenon_H29d zenon_Hce zenon_H167 zenon_H246 zenon_H22e zenon_H138 zenon_Hf8 zenon_Ha8 zenon_H242 zenon_H1d6 zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H22 zenon_H26 zenon_H45 zenon_H47 zenon_H72 zenon_H6e zenon_H69 zenon_H4e zenon_H50 zenon_H71 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_Hbb zenon_Hde zenon_Hf3 zenon_H184. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.15 apply (zenon_L465_); trivial. % 0.96/1.15 apply (zenon_L473_); trivial. % 0.96/1.15 (* end of lemma zenon_L474_ *) % 0.96/1.15 assert (zenon_L475_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (ndr1_0) -> (~(c0_1 (a2284))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> False). % 0.96/1.15 do 0 intro. intros zenon_He3 zenon_H12 zenon_H2a1 zenon_Had zenon_H2a2 zenon_H2a3. % 0.96/1.15 generalize (zenon_He3 (a2284)). zenon_intro zenon_H2a4. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H2a4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a5 ]. % 0.96/1.15 exact (zenon_H11 zenon_H12). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 0.96/1.15 exact (zenon_H2a1 zenon_H2a7). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H2a8 ]. % 0.96/1.15 generalize (zenon_Had (a2284)). zenon_intro zenon_H2aa. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H2aa); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ab ]. % 0.96/1.15 exact (zenon_H11 zenon_H12). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2ac ]. % 0.96/1.15 exact (zenon_H2a1 zenon_H2a7). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2ad ]. % 0.96/1.15 exact (zenon_H2a2 zenon_H2ae). % 0.96/1.15 exact (zenon_H2ad zenon_H2a9). % 0.96/1.15 exact (zenon_H2a3 zenon_H2a8). % 0.96/1.15 (* end of lemma zenon_L475_ *) % 0.96/1.15 assert (zenon_L476_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2284))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (ndr1_0) -> (~(c0_1 (a2367))) -> (c1_1 (a2367)) -> (c2_1 (a2367)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_Had zenon_H2a1 zenon_H3e zenon_H3d zenon_H3c zenon_H12 zenon_H53 zenon_H54 zenon_H55. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 0.96/1.15 apply (zenon_L475_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 0.96/1.15 apply (zenon_L20_); trivial. % 0.96/1.15 apply (zenon_L28_); trivial. % 0.96/1.15 (* end of lemma zenon_L476_ *) % 0.96/1.15 assert (zenon_L477_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H49 zenon_H6e zenon_Hbd zenon_Hbb zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H28f zenon_H7d zenon_H288 zenon_H287 zenon_H286 zenon_H4e zenon_H50 zenon_H26. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 0.96/1.15 apply (zenon_L417_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Had | zenon_intro zenon_Hbe ]. % 0.96/1.15 apply (zenon_L476_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 0.96/1.15 apply (zenon_L413_); trivial. % 0.96/1.15 exact (zenon_Hbb zenon_Hbc). % 0.96/1.15 (* end of lemma zenon_L477_ *) % 0.96/1.15 assert (zenon_L478_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hf3 zenon_Hde zenon_Hdc zenon_H3a zenon_H36 zenon_H33 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_Hbb zenon_Hbd zenon_H6e zenon_H72. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.15 apply (zenon_L416_); trivial. % 0.96/1.15 apply (zenon_L477_); trivial. % 0.96/1.15 apply (zenon_L58_); trivial. % 0.96/1.15 (* end of lemma zenon_L478_ *) % 0.96/1.15 assert (zenon_L479_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H138 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_Hbb zenon_Hbd zenon_H6e zenon_H72 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.15 apply (zenon_L478_); trivial. % 0.96/1.15 apply (zenon_L64_); trivial. % 0.96/1.15 apply (zenon_L109_); trivial. % 0.96/1.15 (* end of lemma zenon_L479_ *) % 0.96/1.15 assert (zenon_L480_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H72 zenon_H6e zenon_Hbd zenon_Hbb zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H12 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H31 zenon_H36 zenon_H3a zenon_Hde zenon_Hf3 zenon_H138. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_L479_); trivial. % 0.96/1.15 apply (zenon_L126_); trivial. % 0.96/1.15 (* end of lemma zenon_L480_ *) % 0.96/1.15 assert (zenon_L481_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (c2_1 (a2302)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H3e zenon_H3d zenon_H3c zenon_H12 zenon_H123 zenon_Had zenon_H124. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 0.96/1.15 apply (zenon_L475_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 0.96/1.15 apply (zenon_L20_); trivial. % 0.96/1.15 apply (zenon_L433_); trivial. % 0.96/1.15 (* end of lemma zenon_L481_ *) % 0.96/1.15 assert (zenon_L482_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H49 zenon_H1c3 zenon_H124 zenon_H123 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H10b zenon_H10a zenon_H109 zenon_H286 zenon_H287 zenon_H288. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.96/1.15 apply (zenon_L481_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.96/1.15 apply (zenon_L75_); trivial. % 0.96/1.15 apply (zenon_L413_); trivial. % 0.96/1.15 (* end of lemma zenon_L482_ *) % 0.96/1.15 assert (zenon_L483_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H119 zenon_H72 zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H26 zenon_H22 zenon_H33 zenon_H193 zenon_H31 zenon_H36 zenon_H3a zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.15 apply (zenon_L83_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.15 apply (zenon_L240_); trivial. % 0.96/1.15 apply (zenon_L482_); trivial. % 0.96/1.15 (* end of lemma zenon_L483_ *) % 0.96/1.15 assert (zenon_L484_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H71 zenon_H6e zenon_H69 zenon_H66 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H3a zenon_H36 zenon_H31 zenon_H193 zenon_H22 zenon_H26 zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_H72 zenon_H119. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.15 apply (zenon_L483_); trivial. % 0.96/1.15 apply (zenon_L248_); trivial. % 0.96/1.15 (* end of lemma zenon_L484_ *) % 0.96/1.15 assert (zenon_L485_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H183 zenon_H178 zenon_Hf8 zenon_H1e7 zenon_H242 zenon_H246 zenon_H69 zenon_H167 zenon_H107 zenon_H193 zenon_H1c3 zenon_H119 zenon_H138 zenon_Hf3 zenon_Hde zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_Hbb zenon_Hbd zenon_H6e zenon_H72 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Ha8 zenon_H184. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.15 apply (zenon_L480_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_L479_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.15 apply (zenon_L483_); trivial. % 0.96/1.15 apply (zenon_L199_); trivial. % 0.96/1.15 apply (zenon_L109_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.15 apply (zenon_L484_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.15 apply (zenon_L83_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.15 apply (zenon_L430_); trivial. % 0.96/1.15 apply (zenon_L482_); trivial. % 0.96/1.15 (* end of lemma zenon_L485_ *) % 0.96/1.15 assert (zenon_L486_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> (~(hskp4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H198 zenon_Ha5 zenon_Hf zenon_Hb zenon_Hf5 zenon_H7 zenon_Hac zenon_H159 zenon_H157 zenon_H87 zenon_Ha3 zenon_Hca zenon_Hce zenon_H15b zenon_H291 zenon_H45 zenon_H7f zenon_H216 zenon_H184 zenon_Ha8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H72 zenon_H6e zenon_Hbd zenon_Hbb zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H12 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H36 zenon_H3a zenon_Hde zenon_Hf3 zenon_H138 zenon_H119 zenon_H1c3 zenon_H193 zenon_H107 zenon_H167 zenon_H69 zenon_H246 zenon_H242 zenon_H1e7 zenon_Hf8 zenon_H178 zenon_H183. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.15 apply (zenon_L485_); trivial. % 0.96/1.15 apply (zenon_L450_); trivial. % 0.96/1.15 (* end of lemma zenon_L486_ *) % 0.96/1.15 assert (zenon_L487_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H195 zenon_H184 zenon_H119 zenon_H216 zenon_H1c3 zenon_H72 zenon_H6e zenon_Hbd zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H4e zenon_H50 zenon_H26 zenon_Hac zenon_H1ee zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_Hbb zenon_H159 zenon_H87 zenon_H107 zenon_Ha3 zenon_Hca zenon_Hce zenon_Hde zenon_Hf3 zenon_Hf9 zenon_H138. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.96/1.15 apply (zenon_L297_); trivial. % 0.96/1.15 apply (zenon_L73_); trivial. % 0.96/1.15 apply (zenon_L477_); trivial. % 0.96/1.15 apply (zenon_L58_); trivial. % 0.96/1.15 apply (zenon_L446_); trivial. % 0.96/1.15 apply (zenon_L453_); trivial. % 0.96/1.15 apply (zenon_L454_); trivial. % 0.96/1.15 (* end of lemma zenon_L487_ *) % 0.96/1.15 assert (zenon_L488_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H71 zenon_H66 zenon_H69 zenon_H72 zenon_H6e zenon_Hbd zenon_Hbb zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H12 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H31 zenon_H36 zenon_H3a zenon_Hdc zenon_Hde zenon_Hf3. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.15 apply (zenon_L478_); trivial. % 0.96/1.15 apply (zenon_L418_); trivial. % 0.96/1.15 (* end of lemma zenon_L488_ *) % 0.96/1.15 assert (zenon_L489_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_Ha8 zenon_H5 zenon_H242 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_Hbb zenon_Hbd zenon_H6e zenon_H72 zenon_H69 zenon_H71. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.15 apply (zenon_L488_); trivial. % 0.96/1.15 apply (zenon_L463_); trivial. % 0.96/1.15 (* end of lemma zenon_L489_ *) % 0.96/1.15 assert (zenon_L490_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H17b zenon_H119 zenon_H72 zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H12c zenon_H12d zenon_H12e zenon_H21d zenon_H21e zenon_H21f zenon_H22e zenon_H107. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.15 apply (zenon_L83_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.15 apply (zenon_L393_); trivial. % 0.96/1.15 apply (zenon_L482_); trivial. % 0.96/1.15 (* end of lemma zenon_L490_ *) % 0.96/1.15 assert (zenon_L491_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H180 zenon_H184 zenon_H119 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H107 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H72 zenon_H6e zenon_H1d6 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H4e zenon_H50 zenon_H26 zenon_H22e zenon_H138. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_L467_); trivial. % 0.96/1.15 apply (zenon_L490_); trivial. % 0.96/1.15 (* end of lemma zenon_L491_ *) % 0.96/1.15 assert (zenon_L492_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H183 zenon_H119 zenon_H1c3 zenon_H107 zenon_H22e zenon_H138 zenon_Hf8 zenon_Ha8 zenon_H242 zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_Hbd zenon_H6e zenon_H72 zenon_H69 zenon_H71 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_Hbb zenon_Hde zenon_Hf3 zenon_H184. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.15 apply (zenon_L210_); trivial. % 0.96/1.15 apply (zenon_L489_); trivial. % 0.96/1.15 apply (zenon_L126_); trivial. % 0.96/1.15 apply (zenon_L491_); trivial. % 0.96/1.15 (* end of lemma zenon_L492_ *) % 0.96/1.15 assert (zenon_L493_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2284))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp9)) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hf9 zenon_H2a3 zenon_H2a2 zenon_Had zenon_H2a1 zenon_H12 zenon_H81 zenon_H4e. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfa ]. % 0.96/1.15 apply (zenon_L475_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H82 | zenon_intro zenon_H4f ]. % 0.96/1.15 exact (zenon_H81 zenon_H82). % 0.96/1.15 exact (zenon_H4e zenon_H4f). % 0.96/1.15 (* end of lemma zenon_L493_ *) % 0.96/1.15 assert (zenon_L494_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp9)) -> (~(hskp28)) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1c3 zenon_H4e zenon_H81 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_Hf9 zenon_H10b zenon_H10a zenon_H109 zenon_H12 zenon_H286 zenon_H287 zenon_H288. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.96/1.15 apply (zenon_L493_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.96/1.15 apply (zenon_L75_); trivial. % 0.96/1.15 apply (zenon_L413_); trivial. % 0.96/1.15 (* end of lemma zenon_L494_ *) % 0.96/1.15 assert (zenon_L495_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a2323))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> (c3_1 (a2278)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H157 zenon_H10b zenon_H10a zenon_Had zenon_H109 zenon_H21f zenon_H21e zenon_H14e zenon_H12 zenon_H9a zenon_H9b zenon_H9c. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 0.96/1.15 apply (zenon_L139_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 0.96/1.15 generalize (zenon_H14d (a2285)). zenon_intro zenon_H2af. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H2af); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b0 ]. % 0.96/1.15 exact (zenon_H11 zenon_H12). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H226 | zenon_intro zenon_H222 ]. % 0.96/1.15 apply (zenon_L211_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H225 | zenon_intro zenon_H224 ]. % 0.96/1.15 exact (zenon_H225 zenon_H21e). % 0.96/1.15 exact (zenon_H224 zenon_H21f). % 0.96/1.15 apply (zenon_L42_); trivial. % 0.96/1.15 (* end of lemma zenon_L495_ *) % 0.96/1.15 assert (zenon_L496_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> False). % 0.96/1.15 do 0 intro. intros zenon_Ha7 zenon_H1c3 zenon_Hbb zenon_H157 zenon_H21f zenon_H21e zenon_H13a zenon_H13b zenon_H13c zenon_H159 zenon_H10b zenon_H10a zenon_H109 zenon_H286 zenon_H287 zenon_H288. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H139 | zenon_intro zenon_H15a ]. % 0.96/1.15 apply (zenon_L92_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H14e | zenon_intro zenon_Hbc ]. % 0.96/1.15 apply (zenon_L495_); trivial. % 0.96/1.15 exact (zenon_Hbb zenon_Hbc). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.96/1.15 apply (zenon_L75_); trivial. % 0.96/1.15 apply (zenon_L413_); trivial. % 0.96/1.15 (* end of lemma zenon_L496_ *) % 0.96/1.15 assert (zenon_L497_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H17b zenon_H119 zenon_Hac zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H21f zenon_H21e zenon_Hbb zenon_H159 zenon_Hf9 zenon_H4e zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_H107. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.15 apply (zenon_L83_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.96/1.15 apply (zenon_L494_); trivial. % 0.96/1.15 apply (zenon_L496_); trivial. % 0.96/1.15 (* end of lemma zenon_L497_ *) % 0.96/1.15 assert (zenon_L498_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.15 apply (zenon_L229_); trivial. % 0.96/1.15 apply (zenon_L422_); trivial. % 0.96/1.15 (* end of lemma zenon_L498_ *) % 0.96/1.15 assert (zenon_L499_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_L498_); trivial. % 0.96/1.15 apply (zenon_L126_); trivial. % 0.96/1.15 (* end of lemma zenon_L499_ *) % 0.96/1.15 assert (zenon_L500_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (c2_1 (a2299)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (ndr1_0) -> (~(c3_1 (a2282))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1e7 zenon_H124 zenon_H123 zenon_H12e zenon_H12c zenon_H12d zenon_H12 zenon_H238 zenon_Had zenon_H239 zenon_H237. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.96/1.15 apply (zenon_L433_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.96/1.15 apply (zenon_L243_); trivial. % 0.96/1.15 apply (zenon_L244_); trivial. % 0.96/1.15 (* end of lemma zenon_L500_ *) % 0.96/1.15 assert (zenon_L501_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c2_1 (a2299)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H17b zenon_H119 zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H12d zenon_H12c zenon_H12e zenon_H238 zenon_H239 zenon_H237 zenon_H1e7 zenon_H107. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.15 apply (zenon_L83_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.96/1.15 apply (zenon_L500_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.96/1.15 apply (zenon_L75_); trivial. % 0.96/1.15 apply (zenon_L413_); trivial. % 0.96/1.15 (* end of lemma zenon_L501_ *) % 0.96/1.15 assert (zenon_L502_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H180 zenon_H184 zenon_H119 zenon_H1c3 zenon_H1e7 zenon_H107 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_L498_); trivial. % 0.96/1.15 apply (zenon_L501_); trivial. % 0.96/1.15 (* end of lemma zenon_L502_ *) % 0.96/1.15 assert (zenon_L503_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H183 zenon_H119 zenon_H1c3 zenon_H1e7 zenon_H107 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H31 zenon_Ha8 zenon_H184. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.15 apply (zenon_L499_); trivial. % 0.96/1.15 apply (zenon_L502_); trivial. % 0.96/1.15 (* end of lemma zenon_L503_ *) % 0.96/1.15 assert (zenon_L504_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H198 zenon_H138 zenon_H4e zenon_Hf9 zenon_Hac zenon_H157 zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H184 zenon_Ha8 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H107 zenon_H1e7 zenon_H1c3 zenon_H119 zenon_H183. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.15 apply (zenon_L503_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_L498_); trivial. % 0.96/1.15 apply (zenon_L454_); trivial. % 0.96/1.15 (* end of lemma zenon_L504_ *) % 0.96/1.15 assert (zenon_L505_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(hskp1)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H180 zenon_H244 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_Hbb. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 0.96/1.15 apply (zenon_L133_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 0.96/1.15 apply (zenon_L85_); trivial. % 0.96/1.15 exact (zenon_Hbb zenon_Hbc). % 0.96/1.15 (* end of lemma zenon_L505_ *) % 0.96/1.15 assert (zenon_L506_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H183 zenon_H244 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H31 zenon_Ha8 zenon_H184. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.15 apply (zenon_L499_); trivial. % 0.96/1.15 apply (zenon_L505_); trivial. % 0.96/1.15 (* end of lemma zenon_L506_ *) % 0.96/1.15 assert (zenon_L507_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H195 zenon_H184 zenon_H138 zenon_Hf1 zenon_Hef zenon_H9 zenon_H107 zenon_Hac zenon_H1c3 zenon_H157 zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H119 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_L498_); trivial. % 0.96/1.15 apply (zenon_L448_); trivial. % 0.96/1.15 (* end of lemma zenon_L507_ *) % 0.96/1.15 assert (zenon_L508_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H17b zenon_H119 zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H19a zenon_H19b zenon_H19c zenon_H238 zenon_H239 zenon_H237 zenon_H1e7 zenon_H107. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.15 apply (zenon_L83_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 0.96/1.15 apply (zenon_L433_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 0.96/1.15 apply (zenon_L130_); trivial. % 0.96/1.15 apply (zenon_L244_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 0.96/1.15 apply (zenon_L75_); trivial. % 0.96/1.15 apply (zenon_L413_); trivial. % 0.96/1.15 (* end of lemma zenon_L508_ *) % 0.96/1.15 assert (zenon_L509_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1f0 zenon_H184 zenon_H119 zenon_H1c3 zenon_H1e7 zenon_H107 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_L498_); trivial. % 0.96/1.15 apply (zenon_L508_); trivial. % 0.96/1.15 (* end of lemma zenon_L509_ *) % 0.96/1.15 assert (zenon_L510_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1f3 zenon_H1fa zenon_H1e7 zenon_H183 zenon_H244 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Ha8 zenon_H184 zenon_H119 zenon_Hce zenon_H216 zenon_H87 zenon_H159 zenon_H157 zenon_H1c3 zenon_Hac zenon_H107 zenon_H9 zenon_Hf1 zenon_H138 zenon_H198. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.15 apply (zenon_L506_); trivial. % 0.96/1.15 apply (zenon_L507_); trivial. % 0.96/1.15 apply (zenon_L509_); trivial. % 0.96/1.15 (* end of lemma zenon_L510_ *) % 0.96/1.15 assert (zenon_L511_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp1)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H49 zenon_H244 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H238 zenon_H237 zenon_H239 zenon_H11a zenon_H11b zenon_H11c zenon_H1d6 zenon_Hbb. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 0.96/1.15 apply (zenon_L133_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 0.96/1.15 apply (zenon_L80_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 0.96/1.15 apply (zenon_L20_); trivial. % 0.96/1.15 apply (zenon_L251_); trivial. % 0.96/1.15 exact (zenon_Hbb zenon_Hbc). % 0.96/1.15 (* end of lemma zenon_L511_ *) % 0.96/1.15 assert (zenon_L512_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_Hf4 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H3a zenon_Ha8 zenon_H5 zenon_H31 zenon_H242 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H22 zenon_H26 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1d6 zenon_H238 zenon_H237 zenon_H239 zenon_H11c zenon_H11b zenon_H11a zenon_Hbb zenon_H244 zenon_H72. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.96/1.15 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.15 apply (zenon_L462_); trivial. % 0.96/1.15 apply (zenon_L511_); trivial. % 0.96/1.15 apply (zenon_L58_); trivial. % 0.96/1.15 (* end of lemma zenon_L512_ *) % 0.96/1.15 assert (zenon_L513_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H3a zenon_Ha8 zenon_H5 zenon_H31 zenon_H242 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H22 zenon_H26 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1d6 zenon_Hbb zenon_H244 zenon_H72 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.15 apply (zenon_L229_); trivial. % 0.96/1.15 apply (zenon_L512_); trivial. % 0.96/1.15 (* end of lemma zenon_L513_ *) % 0.96/1.15 assert (zenon_L514_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H183 zenon_H138 zenon_Hf8 zenon_H3a zenon_Ha8 zenon_H31 zenon_H242 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H22 zenon_H26 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1d6 zenon_H244 zenon_H72 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_Hbb zenon_Hde zenon_Hf3 zenon_H184. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.15 apply (zenon_L210_); trivial. % 0.96/1.15 apply (zenon_L513_); trivial. % 0.96/1.15 apply (zenon_L126_); trivial. % 0.96/1.15 apply (zenon_L505_); trivial. % 0.96/1.15 (* end of lemma zenon_L514_ *) % 0.96/1.15 assert (zenon_L515_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H216 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H81. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 0.96/1.15 apply (zenon_L133_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 0.96/1.15 apply (zenon_L413_); trivial. % 0.96/1.15 exact (zenon_H81 zenon_H82). % 0.96/1.15 (* end of lemma zenon_L515_ *) % 0.96/1.15 assert (zenon_L516_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H17b zenon_H119 zenon_Hac zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H21f zenon_H21e zenon_Hbb zenon_H159 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H286 zenon_H287 zenon_H288 zenon_H216 zenon_H107. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.15 apply (zenon_L83_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.15 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 0.96/1.15 apply (zenon_L515_); trivial. % 0.96/1.15 apply (zenon_L496_); trivial. % 0.96/1.15 (* end of lemma zenon_L516_ *) % 0.96/1.15 assert (zenon_L517_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1f3 zenon_H198 zenon_H119 zenon_Hac zenon_H1c3 zenon_H157 zenon_H159 zenon_H216 zenon_H107 zenon_Hf5 zenon_Hbd zenon_H7f zenon_H184 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H72 zenon_H244 zenon_H1d6 zenon_H26 zenon_H22 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H242 zenon_Ha8 zenon_H3a zenon_Hf8 zenon_H138 zenon_H183. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.15 apply (zenon_L514_); trivial. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.15 apply (zenon_L498_); trivial. % 0.96/1.15 apply (zenon_L516_); trivial. % 0.96/1.15 (* end of lemma zenon_L517_ *) % 0.96/1.15 assert (zenon_L518_ : (forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1e9 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3. % 0.96/1.15 generalize (zenon_H1e9 (a2279)). zenon_intro zenon_H2b4. % 0.96/1.15 apply (zenon_imply_s _ _ zenon_H2b4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b5 ]. % 0.96/1.15 exact (zenon_H11 zenon_H12). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2b6 ]. % 0.96/1.15 exact (zenon_H2b1 zenon_H2b7). % 0.96/1.15 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2b8 ]. % 0.96/1.15 exact (zenon_H2b2 zenon_H2b9). % 0.96/1.15 exact (zenon_H2b8 zenon_H2b3). % 0.96/1.15 (* end of lemma zenon_L518_ *) % 0.96/1.15 assert (zenon_L519_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.96/1.15 do 0 intro. intros zenon_H1ee zenon_H13c zenon_H13b zenon_H13a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H12 zenon_H1f. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H139 | zenon_intro zenon_H1ef ]. % 0.96/1.15 apply (zenon_L92_); trivial. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H20 ]. % 0.96/1.15 apply (zenon_L518_); trivial. % 0.96/1.15 exact (zenon_H1f zenon_H20). % 0.96/1.15 (* end of lemma zenon_L519_ *) % 0.96/1.15 assert (zenon_L520_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp13)) -> (~(hskp4)) -> (ndr1_0) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H72 zenon_H47 zenon_H5 zenon_H45 zenon_H12 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 0.96/1.15 apply (zenon_L519_); trivial. % 0.96/1.15 apply (zenon_L23_); trivial. % 0.96/1.15 (* end of lemma zenon_L520_ *) % 0.96/1.15 assert (zenon_L521_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 0.96/1.15 do 0 intro. intros zenon_H195 zenon_H183 zenon_H138 zenon_H4e zenon_Hf9 zenon_Hce zenon_Hca zenon_H107 zenon_H87 zenon_Ha3 zenon_Ha5 zenon_Hac zenon_H112 zenon_H114 zenon_H119 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H45 zenon_H47 zenon_H72. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.96/1.15 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.96/1.15 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 0.96/1.15 apply (zenon_L520_); trivial. % 0.96/1.15 apply (zenon_L117_); trivial. % 0.96/1.15 (* end of lemma zenon_L521_ *) % 0.96/1.15 assert (zenon_L522_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp11)\/(hskp12))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H1f9 zenon_H15b zenon_H159 zenon_H157 zenon_H193 zenon_H7 zenon_H183 zenon_Hf9 zenon_H138 zenon_H1b2 zenon_H71 zenon_H6e zenon_H69 zenon_H4e zenon_H50 zenon_H3a zenon_H36 zenon_Hf zenon_H9 zenon_H22 zenon_H26 zenon_H45 zenon_H47 zenon_H72 zenon_Hf3 zenon_Hde zenon_H7f zenon_Hac zenon_Ha8 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hbd zenon_Hbb zenon_Hca zenon_Hce zenon_Hf5 zenon_Hf1 zenon_Hef zenon_Hed zenon_Hf8 zenon_H107 zenon_H112 zenon_H114 zenon_H119 zenon_H184 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H198. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.16 apply (zenon_L137_); trivial. % 0.96/1.16 apply (zenon_L521_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.16 apply (zenon_L127_); trivial. % 0.96/1.16 apply (zenon_L521_); trivial. % 0.96/1.16 (* end of lemma zenon_L522_ *) % 0.96/1.16 assert (zenon_L523_ : ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (ndr1_0) -> (~(hskp25)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H2ba zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H19c zenon_H19b zenon_H19a zenon_H12 zenon_H1d. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H2bb ]. % 0.96/1.16 apply (zenon_L518_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e ]. % 0.96/1.16 apply (zenon_L130_); trivial. % 0.96/1.16 exact (zenon_H1d zenon_H1e). % 0.96/1.16 (* end of lemma zenon_L523_ *) % 0.96/1.16 assert (zenon_L524_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hf4 zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.96/1.16 apply (zenon_L523_); trivial. % 0.96/1.16 apply (zenon_L289_); trivial. % 0.96/1.16 (* end of lemma zenon_L524_ *) % 0.96/1.16 assert (zenon_L525_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H3a zenon_H36 zenon_H33 zenon_H31 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.96/1.16 apply (zenon_L523_); trivial. % 0.96/1.16 apply (zenon_L18_); trivial. % 0.96/1.16 (* end of lemma zenon_L525_ *) % 0.96/1.16 assert (zenon_L526_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H135 zenon_H71 zenon_H119 zenon_H114 zenon_H45 zenon_H112 zenon_Hac zenon_Hfb zenon_H4e zenon_Hf9 zenon_H107 zenon_Ha3 zenon_Hca zenon_Hce zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H31 zenon_H36 zenon_H3a. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.16 apply (zenon_L525_); trivial. % 0.96/1.16 apply (zenon_L222_); trivial. % 0.96/1.16 (* end of lemma zenon_L526_ *) % 0.96/1.16 assert (zenon_L527_ : ((ndr1_0)/\((c0_1 (a2285))/\((c1_1 (a2285))/\(~(c3_1 (a2285)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp26))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp11)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp4))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H27f zenon_H218 zenon_H1e5 zenon_H234 zenon_H1f9 zenon_Ha8 zenon_H15b zenon_Hac zenon_H157 zenon_H36 zenon_Hf9 zenon_H7 zenon_H22e zenon_H47 zenon_Hf5 zenon_Hce zenon_Hca zenon_Ha3 zenon_Hfb zenon_H71 zenon_Ha5 zenon_H87 zenon_H183 zenon_H184 zenon_H119 zenon_H114 zenon_H45 zenon_H112 zenon_H107 zenon_Hf3 zenon_Hde zenon_Hbb zenon_Hed zenon_H1b2 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_H1ee zenon_H159 zenon_H17c zenon_H198 zenon_H1f4 zenon_H1f8. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 0.96/1.16 apply (zenon_L228_); trivial. % 0.96/1.16 (* end of lemma zenon_L527_ *) % 0.96/1.16 assert (zenon_L528_ : ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (ndr1_0) -> (~(hskp24)) -> (~(hskp25)) -> False). % 0.96/1.16 do 0 intro. intros zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H12 zenon_H1 zenon_H1d. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H2bd ]. % 0.96/1.16 apply (zenon_L518_); trivial. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2 | zenon_intro zenon_H1e ]. % 0.96/1.16 exact (zenon_H1 zenon_H2). % 0.96/1.16 exact (zenon_H1d zenon_H1e). % 0.96/1.16 (* end of lemma zenon_L528_ *) % 0.96/1.16 assert (zenon_L529_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (c2_1 (a2325)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H8c zenon_H8a zenon_H8d zenon_H242 zenon_H157 zenon_H76 zenon_H75 zenon_H74 zenon_Hbb zenon_Hbd zenon_Hac zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1 zenon_H2bc. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 0.96/1.16 apply (zenon_L528_); trivial. % 0.96/1.16 apply (zenon_L235_); trivial. % 0.96/1.16 (* end of lemma zenon_L529_ *) % 0.96/1.16 assert (zenon_L530_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H15b zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.16 apply (zenon_L229_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.96/1.16 apply (zenon_L36_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.96/1.16 apply (zenon_L529_); trivial. % 0.96/1.16 apply (zenon_L104_); trivial. % 0.96/1.16 apply (zenon_L58_); trivial. % 0.96/1.16 (* end of lemma zenon_L530_ *) % 0.96/1.16 assert (zenon_L531_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H138 zenon_Hf1 zenon_Hef zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_H15b zenon_H13a zenon_H13b zenon_H13c zenon_H159 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.16 apply (zenon_L530_); trivial. % 0.96/1.16 apply (zenon_L109_); trivial. % 0.96/1.16 (* end of lemma zenon_L531_ *) % 0.96/1.16 assert (zenon_L532_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H179 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H159 zenon_H15b zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hef zenon_Hf1 zenon_H138. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.16 apply (zenon_L531_); trivial. % 0.96/1.16 apply (zenon_L116_); trivial. % 0.96/1.16 (* end of lemma zenon_L532_ *) % 0.96/1.16 assert (zenon_L533_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H198 zenon_H17c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H159 zenon_H15b zenon_H184 zenon_H138 zenon_Hf1 zenon_Hef zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_Ha5 zenon_Ha3 zenon_Ha8 zenon_Hac zenon_H7f zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H71 zenon_Hde zenon_Hbb zenon_Hed zenon_H173 zenon_H178 zenon_H3a zenon_H242 zenon_H157 zenon_Hbd zenon_Hf zenon_Hb zenon_H22 zenon_H26 zenon_H244 zenon_H72 zenon_H69 zenon_H107 zenon_H36 zenon_H193 zenon_H50 zenon_H4e zenon_H246 zenon_H1c3 zenon_H1e7 zenon_H6e zenon_H119 zenon_H112 zenon_H1e5 zenon_H1d5 zenon_H179 zenon_H266 zenon_H183. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 0.96/1.16 apply (zenon_L270_); trivial. % 0.96/1.16 apply (zenon_L532_); trivial. % 0.96/1.16 (* end of lemma zenon_L533_ *) % 0.96/1.16 assert (zenon_L534_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H15c zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H74 zenon_H75 zenon_H76 zenon_H159 zenon_Hbb zenon_H157 zenon_H187 zenon_H186 zenon_H185 zenon_H242 zenon_Hac. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.96/1.16 apply (zenon_L279_); trivial. % 0.96/1.16 apply (zenon_L103_); trivial. % 0.96/1.16 (* end of lemma zenon_L534_ *) % 0.96/1.16 assert (zenon_L535_ : ((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hcf zenon_H15b zenon_H159 zenon_H187 zenon_H186 zenon_H185 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Hac zenon_Hbd zenon_Hbb zenon_H74 zenon_H75 zenon_H76 zenon_H157 zenon_H242 zenon_H85 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H3a. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.96/1.16 apply (zenon_L529_); trivial. % 0.96/1.16 apply (zenon_L534_); trivial. % 0.96/1.16 (* end of lemma zenon_L535_ *) % 0.96/1.16 assert (zenon_L536_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_Hf4 zenon_Hf3 zenon_H167 zenon_H165 zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H185 zenon_H186 zenon_H187 zenon_H159 zenon_H15b zenon_Hf5. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 0.96/1.16 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 0.96/1.16 apply (zenon_L36_); trivial. % 0.96/1.16 apply (zenon_L535_); trivial. % 0.96/1.16 apply (zenon_L106_); trivial. % 0.96/1.16 (* end of lemma zenon_L536_ *) % 0.96/1.16 assert (zenon_L537_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H178 zenon_H173 zenon_Hed zenon_Hde zenon_H71 zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H185 zenon_H186 zenon_H187 zenon_H159 zenon_H15b zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_Hef zenon_Hf1 zenon_H138. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.16 apply (zenon_L229_); trivial. % 0.96/1.16 apply (zenon_L536_); trivial. % 0.96/1.16 apply (zenon_L109_); trivial. % 0.96/1.16 apply (zenon_L113_); trivial. % 0.96/1.16 (* end of lemma zenon_L537_ *) % 0.96/1.16 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H15c zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H36 zenon_H33 zenon_H31 zenon_H187 zenon_H186 zenon_H185 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 0.96/1.16 apply (zenon_L121_); trivial. % 0.96/1.16 apply (zenon_L103_); trivial. % 0.96/1.16 (* end of lemma zenon_L538_ *) % 0.96/1.16 assert (zenon_L539_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> (~(hskp12)) -> (~(hskp19)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H116 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H185 zenon_H186 zenon_H187 zenon_H31 zenon_H33 zenon_H36 zenon_H85 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 0.96/1.16 apply (zenon_L101_); trivial. % 0.96/1.16 apply (zenon_L538_); trivial. % 0.96/1.16 apply (zenon_L106_); trivial. % 0.96/1.16 (* end of lemma zenon_L539_ *) % 0.96/1.16 assert (zenon_L540_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H71 zenon_H6e zenon_H69 zenon_H66 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H36 zenon_H31 zenon_H187 zenon_H186 zenon_H185 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 0.96/1.16 apply (zenon_L83_); trivial. % 0.96/1.16 apply (zenon_L539_); trivial. % 0.96/1.16 apply (zenon_L248_); trivial. % 0.96/1.16 (* end of lemma zenon_L540_ *) % 0.96/1.16 assert (zenon_L541_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H138 zenon_Hf1 zenon_Hef zenon_H71 zenon_H6e zenon_H69 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H36 zenon_H31 zenon_H187 zenon_H186 zenon_H185 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119 zenon_Hf5 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Hbd zenon_H242 zenon_H3a zenon_H7f zenon_Hf8. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 0.96/1.16 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 0.96/1.16 apply (zenon_L540_); trivial. % 0.96/1.16 apply (zenon_L536_); trivial. % 0.96/1.16 apply (zenon_L109_); trivial. % 0.96/1.16 (* end of lemma zenon_L541_ *) % 0.96/1.16 assert (zenon_L542_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 0.96/1.16 do 0 intro. intros zenon_H180 zenon_H184 zenon_H72 zenon_H244 zenon_H1e7 zenon_H1c3 zenon_H22 zenon_H266 zenon_H179 zenon_H1d5 zenon_H1e5 zenon_H112 zenon_H119 zenon_H15f zenon_H31 zenon_H36 zenon_H107 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H69 zenon_H6e zenon_H138 zenon_Hf1 zenon_Hef zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_H15b zenon_H159 zenon_H187 zenon_H186 zenon_H185 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H7f zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H71 zenon_Hde zenon_Hed zenon_H173 zenon_H178. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 0.96/1.16 apply (zenon_L537_); trivial. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 0.96/1.16 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 0.96/1.16 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 0.96/1.16 apply (zenon_L541_); trivial. % 0.96/1.16 apply (zenon_L268_); trivial. % 0.96/1.16 (* end of lemma zenon_L542_ *) % 0.96/1.16 assert (zenon_L543_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.01/1.16 do 0 intro. intros zenon_Hf8 zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.16 apply (zenon_L229_); trivial. % 1.01/1.16 apply (zenon_L524_); trivial. % 1.01/1.16 (* end of lemma zenon_L543_ *) % 1.01/1.16 assert (zenon_L544_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_Hf8. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.16 apply (zenon_L543_); trivial. % 1.01/1.16 apply (zenon_L126_); trivial. % 1.01/1.16 (* end of lemma zenon_L544_ *) % 1.01/1.16 assert (zenon_L545_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (ndr1_0) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H71 zenon_H6e zenon_H69 zenon_H66 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H4e zenon_H50 zenon_H26 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H12 zenon_H31 zenon_H36 zenon_H3a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.16 apply (zenon_L525_); trivial. % 1.01/1.16 apply (zenon_L248_); trivial. % 1.01/1.16 (* end of lemma zenon_L545_ *) % 1.01/1.16 assert (zenon_L546_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H17b zenon_Hf8 zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H3a zenon_H36 zenon_H31 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H26 zenon_H50 zenon_H4e zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H69 zenon_H6e zenon_H71. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.16 apply (zenon_L545_); trivial. % 1.01/1.16 apply (zenon_L524_); trivial. % 1.01/1.16 (* end of lemma zenon_L546_ *) % 1.01/1.16 assert (zenon_L547_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H183 zenon_H36 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H69 zenon_H71 zenon_Hf8 zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H31 zenon_Ha8 zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.16 apply (zenon_L544_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.16 apply (zenon_L543_); trivial. % 1.01/1.16 apply (zenon_L546_); trivial. % 1.01/1.16 (* end of lemma zenon_L547_ *) % 1.01/1.16 assert (zenon_L548_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H3a zenon_H26 zenon_H107 zenon_H105 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H85 zenon_H26a zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.16 apply (zenon_L523_); trivial. % 1.01/1.16 apply (zenon_L311_); trivial. % 1.01/1.16 (* end of lemma zenon_L548_ *) % 1.01/1.16 assert (zenon_L549_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (~(hskp5)) -> False). % 1.01/1.16 do 0 intro. intros zenon_Hc9 zenon_H29f zenon_H19c zenon_H19b zenon_H19a zenon_H29d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_Hbf | zenon_intro zenon_H2a0 ]. % 1.01/1.16 apply (zenon_L51_); trivial. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H199 | zenon_intro zenon_H29e ]. % 1.01/1.16 apply (zenon_L130_); trivial. % 1.01/1.16 exact (zenon_H29d zenon_H29e). % 1.01/1.16 (* end of lemma zenon_L549_ *) % 1.01/1.16 assert (zenon_L550_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H116 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H85 zenon_H87 zenon_H19a zenon_H19b zenon_H19c zenon_H29d zenon_H29f zenon_Hce zenon_H15b. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.16 apply (zenon_L101_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.16 apply (zenon_L97_); trivial. % 1.01/1.16 apply (zenon_L549_); trivial. % 1.01/1.16 apply (zenon_L106_); trivial. % 1.01/1.16 (* end of lemma zenon_L550_ *) % 1.01/1.16 assert (zenon_L551_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H35 zenon_H6e zenon_H1d6 zenon_H3e zenon_H3d zenon_H3c zenon_H11c zenon_H11b zenon_H11a zenon_H1c7 zenon_H112 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H1d5. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.01/1.16 apply (zenon_L288_); trivial. % 1.01/1.16 apply (zenon_L152_); trivial. % 1.01/1.16 (* end of lemma zenon_L551_ *) % 1.01/1.16 assert (zenon_L552_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H49 zenon_H3a zenon_H6e zenon_H1d6 zenon_H11c zenon_H11b zenon_H11a zenon_H1c7 zenon_H112 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H1d5 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.16 apply (zenon_L523_); trivial. % 1.01/1.16 apply (zenon_L551_); trivial. % 1.01/1.16 (* end of lemma zenon_L552_ *) % 1.01/1.16 assert (zenon_L553_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> False). % 1.01/1.16 do 0 intro. intros zenon_Hf4 zenon_H72 zenon_H3a zenon_H6e zenon_H1d6 zenon_H11c zenon_H11b zenon_H11a zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.16 apply (zenon_L519_); trivial. % 1.01/1.16 apply (zenon_L552_); trivial. % 1.01/1.16 (* end of lemma zenon_L553_ *) % 1.01/1.16 assert (zenon_L554_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_H72 zenon_H3a zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.16 apply (zenon_L229_); trivial. % 1.01/1.16 apply (zenon_L553_); trivial. % 1.01/1.16 (* end of lemma zenon_L554_ *) % 1.01/1.16 assert (zenon_L555_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 1.01/1.16 do 0 intro. intros zenon_H35 zenon_H1e7 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H19c zenon_H19b zenon_H19a zenon_H16a zenon_H16b zenon_H16c. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 1.01/1.16 apply (zenon_L291_); trivial. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 1.01/1.16 apply (zenon_L130_); trivial. % 1.01/1.16 apply (zenon_L110_); trivial. % 1.01/1.16 (* end of lemma zenon_L555_ *) % 1.01/1.16 assert (zenon_L556_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> False). % 1.01/1.16 do 0 intro. intros zenon_Hf4 zenon_H3a zenon_H1e7 zenon_H16a zenon_H16b zenon_H16c zenon_H242 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.16 apply (zenon_L523_); trivial. % 1.01/1.16 apply (zenon_L555_); trivial. % 1.01/1.16 (* end of lemma zenon_L556_ *) % 1.01/1.16 assert (zenon_L557_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H3a zenon_H1e7 zenon_H242 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.16 apply (zenon_L229_); trivial. % 1.01/1.16 apply (zenon_L556_); trivial. % 1.01/1.16 (* end of lemma zenon_L557_ *) % 1.01/1.16 assert (zenon_L558_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H29d zenon_H29f zenon_Hce zenon_H15b zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H26a zenon_H242 zenon_H107 zenon_H26 zenon_H3a zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H1ee zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.16 apply (zenon_L229_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.16 apply (zenon_L548_); trivial. % 1.01/1.16 apply (zenon_L550_); trivial. % 1.01/1.16 apply (zenon_L554_); trivial. % 1.01/1.16 apply (zenon_L557_); trivial. % 1.01/1.16 (* end of lemma zenon_L558_ *) % 1.01/1.16 assert (zenon_L559_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.16 do 0 intro. intros zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H85 zenon_H87 zenon_H19a zenon_H19b zenon_H19c zenon_H29d zenon_H29f zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.16 apply (zenon_L83_); trivial. % 1.01/1.16 apply (zenon_L550_); trivial. % 1.01/1.16 (* end of lemma zenon_L559_ *) % 1.01/1.16 assert (zenon_L560_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H49 zenon_H6e zenon_H1d6 zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H11c zenon_H11b zenon_H11a zenon_H4e zenon_H50 zenon_H26. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.01/1.16 apply (zenon_L400_); trivial. % 1.01/1.16 apply (zenon_L26_); trivial. % 1.01/1.16 apply (zenon_L152_); trivial. % 1.01/1.16 (* end of lemma zenon_L560_ *) % 1.01/1.16 assert (zenon_L561_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H135 zenon_H72 zenon_H6e zenon_H1d6 zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.16 apply (zenon_L519_); trivial. % 1.01/1.16 apply (zenon_L560_); trivial. % 1.01/1.16 (* end of lemma zenon_L561_ *) % 1.01/1.16 assert (zenon_L562_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H17b zenon_H178 zenon_H112 zenon_H1e5 zenon_H1e7 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H19a zenon_H19b zenon_H19c zenon_H29d zenon_H29f zenon_Hce zenon_H15b zenon_H107 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.16 apply (zenon_L559_); trivial. % 1.01/1.16 apply (zenon_L561_); trivial. % 1.01/1.16 apply (zenon_L325_); trivial. % 1.01/1.16 (* end of lemma zenon_L562_ *) % 1.01/1.16 assert (zenon_L563_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H195 zenon_H184 zenon_H1e5 zenon_H50 zenon_H4e zenon_H246 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H1ee zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H3a zenon_H26 zenon_H107 zenon_H242 zenon_H26a zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H15b zenon_Hce zenon_H29f zenon_H29d zenon_H87 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_Hf8 zenon_H1e7 zenon_H178. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.16 apply (zenon_L558_); trivial. % 1.01/1.16 apply (zenon_L562_); trivial. % 1.01/1.16 (* end of lemma zenon_L563_ *) % 1.01/1.16 assert (zenon_L564_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H1f0 zenon_H198 zenon_H1e5 zenon_H138 zenon_H72 zenon_H1d6 zenon_H1ee zenon_H107 zenon_H26a zenon_H15b zenon_Hce zenon_H29f zenon_H29d zenon_H87 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H1e7 zenon_H178 zenon_H184 zenon_Ha8 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H2ba zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_Hf8 zenon_H71 zenon_H69 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H36 zenon_H183. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.16 apply (zenon_L547_); trivial. % 1.01/1.16 apply (zenon_L563_); trivial. % 1.01/1.16 (* end of lemma zenon_L564_ *) % 1.01/1.16 assert (zenon_L565_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H183 zenon_H244 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_H36 zenon_H31 zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_Hac zenon_Ha8 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hbd zenon_Hbb zenon_Hca zenon_Hce zenon_H72 zenon_Hf5 zenon_Hf1 zenon_Hef zenon_Hed zenon_H71 zenon_Hf8 zenon_H184. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.16 apply (zenon_L348_); trivial. % 1.01/1.16 apply (zenon_L505_); trivial. % 1.01/1.16 (* end of lemma zenon_L565_ *) % 1.01/1.16 assert (zenon_L566_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (c2_1 (a2325)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (c3_1 (a2327)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H35 zenon_Hce zenon_Hca zenon_Ha3 zenon_H8c zenon_H8a zenon_H8d zenon_H3d zenon_H3c zenon_H3e zenon_Hbd zenon_H87 zenon_H85 zenon_H159 zenon_Hbb zenon_H109 zenon_H10a zenon_H10b zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H1c3 zenon_Hac. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.16 apply (zenon_L203_); trivial. % 1.01/1.16 apply (zenon_L52_); trivial. % 1.01/1.16 (* end of lemma zenon_L566_ *) % 1.01/1.16 assert (zenon_L567_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (c2_1 (a2325)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (c3_1 (a2327)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H3a zenon_Hce zenon_Hca zenon_Ha3 zenon_H8c zenon_H8a zenon_H8d zenon_H3d zenon_H3c zenon_H3e zenon_Hbd zenon_H87 zenon_H85 zenon_H159 zenon_Hbb zenon_H109 zenon_H10a zenon_H10b zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H1c3 zenon_Hac zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1 zenon_H2bc. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.16 apply (zenon_L528_); trivial. % 1.01/1.16 apply (zenon_L566_); trivial. % 1.01/1.16 (* end of lemma zenon_L567_ *) % 1.01/1.16 assert (zenon_L568_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.16 do 0 intro. intros zenon_H138 zenon_Hf1 zenon_Hef zenon_H9 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_H15b zenon_H2bc zenon_H1c3 zenon_H157 zenon_H159 zenon_Hbd zenon_H3a zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H119 zenon_Hf8. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.16 apply (zenon_L229_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.16 apply (zenon_L181_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.01/1.16 apply (zenon_L36_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.01/1.16 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.16 apply (zenon_L519_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.16 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.16 apply (zenon_L567_); trivial. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.16 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.16 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.16 apply (zenon_L97_); trivial. % 1.01/1.16 apply (zenon_L52_); trivial. % 1.01/1.16 apply (zenon_L58_); trivial. % 1.01/1.16 apply (zenon_L109_); trivial. % 1.01/1.17 (* end of lemma zenon_L568_ *) % 1.01/1.17 assert (zenon_L569_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H179 zenon_Hf8 zenon_H119 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H3a zenon_Hbd zenon_H159 zenon_H157 zenon_H1c3 zenon_H2bc zenon_H15b zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H9 zenon_Hef zenon_Hf1 zenon_H138. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.17 apply (zenon_L568_); trivial. % 1.01/1.17 apply (zenon_L116_); trivial. % 1.01/1.17 (* end of lemma zenon_L569_ *) % 1.01/1.17 assert (zenon_L570_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H3a zenon_H36 zenon_H33 zenon_H31 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1 zenon_H2bc. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.17 apply (zenon_L528_); trivial. % 1.01/1.17 apply (zenon_L18_); trivial. % 1.01/1.17 (* end of lemma zenon_L570_ *) % 1.01/1.17 assert (zenon_L571_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H85 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_Hbd zenon_H15f zenon_H3a zenon_H36 zenon_H31 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H26 zenon_H22 zenon_H193 zenon_H159 zenon_H157 zenon_H187 zenon_H186 zenon_H185 zenon_H242 zenon_H15b zenon_H119. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.17 apply (zenon_L181_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.17 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.01/1.17 apply (zenon_L36_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.17 apply (zenon_L570_); trivial. % 1.01/1.17 apply (zenon_L280_); trivial. % 1.01/1.17 apply (zenon_L282_); trivial. % 1.01/1.17 apply (zenon_L58_); trivial. % 1.01/1.17 apply (zenon_L64_); trivial. % 1.01/1.17 (* end of lemma zenon_L571_ *) % 1.01/1.17 assert (zenon_L572_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H138 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15b zenon_H242 zenon_H185 zenon_H186 zenon_H187 zenon_H157 zenon_H159 zenon_H193 zenon_H22 zenon_H26 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H31 zenon_H36 zenon_H3a zenon_H15f zenon_Hbd zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.17 apply (zenon_L229_); trivial. % 1.01/1.17 apply (zenon_L571_); trivial. % 1.01/1.17 apply (zenon_L109_); trivial. % 1.01/1.17 (* end of lemma zenon_L572_ *) % 1.01/1.17 assert (zenon_L573_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_Hbd zenon_H15f zenon_H3a zenon_H36 zenon_H31 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H26 zenon_H22 zenon_H193 zenon_H159 zenon_H157 zenon_H187 zenon_H186 zenon_H185 zenon_H242 zenon_H15b zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H138. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.17 apply (zenon_L572_); trivial. % 1.01/1.17 apply (zenon_L126_); trivial. % 1.01/1.17 (* end of lemma zenon_L573_ *) % 1.01/1.17 assert (zenon_L574_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H183 zenon_H244 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15b zenon_H242 zenon_H185 zenon_H186 zenon_H187 zenon_H157 zenon_H159 zenon_H193 zenon_H22 zenon_H26 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H31 zenon_H36 zenon_H3a zenon_H15f zenon_Hbd zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8 zenon_Ha8 zenon_H184. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.17 apply (zenon_L573_); trivial. % 1.01/1.17 apply (zenon_L505_); trivial. % 1.01/1.17 (* end of lemma zenon_L574_ *) % 1.01/1.17 assert (zenon_L575_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H183 zenon_H244 zenon_Hbb zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_Hf8 zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H31 zenon_Ha8 zenon_H184. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.17 apply (zenon_L544_); trivial. % 1.01/1.17 apply (zenon_L505_); trivial. % 1.01/1.17 (* end of lemma zenon_L575_ *) % 1.01/1.17 assert (zenon_L576_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H135 zenon_H72 zenon_H244 zenon_Hbb zenon_H239 zenon_H237 zenon_H238 zenon_H1d6 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.17 apply (zenon_L519_); trivial. % 1.01/1.17 apply (zenon_L511_); trivial. % 1.01/1.17 (* end of lemma zenon_L576_ *) % 1.01/1.17 assert (zenon_L577_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H195 zenon_H184 zenon_H1e5 zenon_H246 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H244 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H1ee zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H3a zenon_H26 zenon_H107 zenon_H242 zenon_H26a zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H15b zenon_Hce zenon_H29f zenon_H29d zenon_H87 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_Hf8 zenon_H1e7 zenon_H178. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.17 apply (zenon_L558_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.17 apply (zenon_L559_); trivial. % 1.01/1.17 apply (zenon_L576_); trivial. % 1.01/1.17 apply (zenon_L325_); trivial. % 1.01/1.17 (* end of lemma zenon_L577_ *) % 1.01/1.17 assert (zenon_L578_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H1f3 zenon_H1fa zenon_H1e5 zenon_H246 zenon_H1d6 zenon_H26a zenon_H29f zenon_H29d zenon_H167 zenon_H1e7 zenon_H178 zenon_H2ba zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H266 zenon_H6e zenon_H198 zenon_H17c zenon_H179 zenon_H119 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H159 zenon_H157 zenon_H1c3 zenon_H2bc zenon_H15b zenon_H107 zenon_H184 zenon_Hf8 zenon_H71 zenon_Hed zenon_Hf1 zenon_Hf5 zenon_H72 zenon_Hce zenon_Hca zenon_Hbb zenon_Hbd zenon_H87 zenon_Ha5 zenon_Ha3 zenon_Ha8 zenon_Hac zenon_H26 zenon_H22 zenon_H9 zenon_Hf zenon_H36 zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H138 zenon_H244 zenon_H183 zenon_H242 zenon_H193 zenon_H15f zenon_H1f9. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.17 apply (zenon_L565_); trivial. % 1.01/1.17 apply (zenon_L569_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.17 apply (zenon_L574_); trivial. % 1.01/1.17 apply (zenon_L569_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.17 apply (zenon_L575_); trivial. % 1.01/1.17 apply (zenon_L577_); trivial. % 1.01/1.17 (* end of lemma zenon_L578_ *) % 1.01/1.17 assert (zenon_L579_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.17 apply (zenon_L138_); trivial. % 1.01/1.17 apply (zenon_L561_); trivial. % 1.01/1.17 (* end of lemma zenon_L579_ *) % 1.01/1.17 assert (zenon_L580_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H6d zenon_H72 zenon_H6e zenon_Hf1 zenon_Hef zenon_H9 zenon_H1d6 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1e5 zenon_H112 zenon_H1da zenon_H1d9 zenon_H16a zenon_H16b zenon_H16c zenon_H1e7 zenon_H4e zenon_H50 zenon_H26 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.17 apply (zenon_L519_); trivial. % 1.01/1.17 apply (zenon_L334_); trivial. % 1.01/1.17 (* end of lemma zenon_L580_ *) % 1.01/1.17 assert (zenon_L581_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H195 zenon_H184 zenon_H178 zenon_H71 zenon_H1e5 zenon_H112 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H173 zenon_H119 zenon_H167 zenon_H15f zenon_H107 zenon_H1ee zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H1d6 zenon_H6e zenon_H72 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H159 zenon_H15b zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hef zenon_Hf1 zenon_H138. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.17 apply (zenon_L531_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.17 apply (zenon_L579_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.17 apply (zenon_L111_); trivial. % 1.01/1.17 apply (zenon_L580_); trivial. % 1.01/1.17 (* end of lemma zenon_L581_ *) % 1.01/1.17 assert (zenon_L582_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H180 zenon_H184 zenon_H72 zenon_H1d6 zenon_H22 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H112 zenon_H119 zenon_H15f zenon_H31 zenon_H36 zenon_H107 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H69 zenon_H6e zenon_H138 zenon_Hf1 zenon_Hef zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_H15b zenon_H159 zenon_H187 zenon_H186 zenon_H185 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H7f zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H71 zenon_Hde zenon_Hed zenon_H173 zenon_H178. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.17 apply (zenon_L537_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.17 apply (zenon_L541_); trivial. % 1.01/1.17 apply (zenon_L336_); trivial. % 1.01/1.17 (* end of lemma zenon_L582_ *) % 1.01/1.17 assert (zenon_L583_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H1f9 zenon_Hca zenon_H183 zenon_H1d6 zenon_H1e7 zenon_H1e5 zenon_H112 zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H193 zenon_H36 zenon_H50 zenon_H4e zenon_H246 zenon_H69 zenon_H6e zenon_H72 zenon_H244 zenon_H26 zenon_H22 zenon_Hf zenon_Hbd zenon_H157 zenon_H242 zenon_H3a zenon_H178 zenon_H173 zenon_Hed zenon_Hbb zenon_Hde zenon_H71 zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H7f zenon_Hac zenon_Ha8 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hef zenon_Hf1 zenon_H138 zenon_H184 zenon_H15b zenon_H159 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1ee zenon_H107 zenon_H15f zenon_H119 zenon_H198. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.17 apply (zenon_L338_); trivial. % 1.01/1.17 apply (zenon_L581_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.17 apply (zenon_L573_); trivial. % 1.01/1.17 apply (zenon_L582_); trivial. % 1.01/1.17 apply (zenon_L581_); trivial. % 1.01/1.17 (* end of lemma zenon_L583_ *) % 1.01/1.17 assert (zenon_L584_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(c1_1 (a2287))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H1f0 zenon_H198 zenon_H184 zenon_H1e5 zenon_H50 zenon_H4e zenon_H246 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H1ee zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H3a zenon_H26 zenon_H107 zenon_H242 zenon_H26a zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2ba zenon_H15b zenon_Hce zenon_H29f zenon_H29d zenon_H87 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_Hf8 zenon_H1e7 zenon_H178 zenon_H21c zenon_H1d9 zenon_H1da zenon_H234. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.17 apply (zenon_L345_); trivial. % 1.01/1.17 apply (zenon_L563_); trivial. % 1.01/1.17 (* end of lemma zenon_L584_ *) % 1.01/1.17 assert (zenon_L585_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H183 zenon_H244 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H178 zenon_H173 zenon_Hed zenon_Hbb zenon_Hde zenon_H71 zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H7f zenon_Hac zenon_Ha8 zenon_H31 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hef zenon_Hf1 zenon_H138 zenon_H184. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.17 apply (zenon_L232_); trivial. % 1.01/1.17 apply (zenon_L505_); trivial. % 1.01/1.17 (* end of lemma zenon_L585_ *) % 1.01/1.17 assert (zenon_L586_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H6d zenon_H72 zenon_H26 zenon_H244 zenon_Hbb zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H1e7 zenon_H16c zenon_H16b zenon_H16a zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H1d6 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.17 apply (zenon_L519_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.01/1.17 apply (zenon_L333_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 1.01/1.17 apply (zenon_L133_); trivial. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 1.01/1.17 apply (zenon_L257_); trivial. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 1.01/1.17 apply (zenon_L157_); trivial. % 1.01/1.17 apply (zenon_L110_); trivial. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.01/1.17 apply (zenon_L20_); trivial. % 1.01/1.17 apply (zenon_L251_); trivial. % 1.01/1.17 exact (zenon_Hbb zenon_Hbc). % 1.01/1.17 (* end of lemma zenon_L586_ *) % 1.01/1.17 assert (zenon_L587_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H195 zenon_H184 zenon_H178 zenon_H71 zenon_H26 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H246 zenon_H173 zenon_H119 zenon_H167 zenon_H15f zenon_H107 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H159 zenon_H15b zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H1ee zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1d6 zenon_H244 zenon_H72 zenon_H138. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.17 apply (zenon_L530_); trivial. % 1.01/1.17 apply (zenon_L576_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.17 apply (zenon_L138_); trivial. % 1.01/1.17 apply (zenon_L576_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.17 apply (zenon_L111_); trivial. % 1.01/1.17 apply (zenon_L586_); trivial. % 1.01/1.17 (* end of lemma zenon_L587_ *) % 1.01/1.17 assert (zenon_L588_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> (~(c1_1 (a2287))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H1f3 zenon_H1fa zenon_H21c zenon_H234 zenon_H183 zenon_H244 zenon_H178 zenon_H173 zenon_Hed zenon_Hbb zenon_Hde zenon_H71 zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H7f zenon_Hac zenon_Ha8 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hf1 zenon_H138 zenon_H184 zenon_H72 zenon_H1d6 zenon_H1ee zenon_H15b zenon_H159 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Hbd zenon_H157 zenon_H242 zenon_H3a zenon_H107 zenon_H15f zenon_H119 zenon_H246 zenon_H1e5 zenon_H112 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H26 zenon_H198. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.17 apply (zenon_L585_); trivial. % 1.01/1.17 apply (zenon_L587_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.17 apply (zenon_L345_); trivial. % 1.01/1.17 apply (zenon_L587_); trivial. % 1.01/1.17 (* end of lemma zenon_L588_ *) % 1.01/1.17 assert (zenon_L589_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H3a zenon_H1d5 zenon_H242 zenon_H16c zenon_H16b zenon_H76 zenon_H75 zenon_H74 zenon_H179 zenon_H266 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1 zenon_H2bc. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.17 apply (zenon_L528_); trivial. % 1.01/1.17 apply (zenon_L292_); trivial. % 1.01/1.17 (* end of lemma zenon_L589_ *) % 1.01/1.17 assert (zenon_L590_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2286))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H72 zenon_H15b zenon_Hac zenon_H1d6 zenon_H112 zenon_H1e5 zenon_H157 zenon_H271 zenon_H270 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H22 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H3a zenon_H119 zenon_H6e zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H1e7 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H69 zenon_H71. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.17 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.17 apply (zenon_L350_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.17 apply (zenon_L349_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.17 apply (zenon_L266_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.17 apply (zenon_L589_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.17 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.17 apply (zenon_L356_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.01/1.17 apply (zenon_L241_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 1.01/1.17 apply (zenon_L93_); trivial. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 1.01/1.17 apply (zenon_L431_); trivial. % 1.01/1.17 apply (zenon_L42_); trivial. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.01/1.17 apply (zenon_L20_); trivial. % 1.01/1.17 apply (zenon_L257_); trivial. % 1.01/1.17 (* end of lemma zenon_L590_ *) % 1.01/1.17 assert (zenon_L591_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2286))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H17b zenon_H178 zenon_Hf8 zenon_H72 zenon_H1d6 zenon_H112 zenon_H1e5 zenon_H271 zenon_H270 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H22 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H3a zenon_H6e zenon_H1e7 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H69 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H15b zenon_Hce zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H87 zenon_H36 zenon_H31 zenon_H187 zenon_H186 zenon_H185 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H138. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.17 apply (zenon_L383_); trivial. % 1.01/1.17 apply (zenon_L590_); trivial. % 1.01/1.17 (* end of lemma zenon_L591_ *) % 1.01/1.17 assert (zenon_L592_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2286))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H183 zenon_H178 zenon_H1d6 zenon_H112 zenon_H1e5 zenon_H271 zenon_H270 zenon_H266 zenon_H179 zenon_H1d5 zenon_H6e zenon_H1e7 zenon_H246 zenon_H4e zenon_H50 zenon_H69 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H167 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15b zenon_H242 zenon_H185 zenon_H186 zenon_H187 zenon_H157 zenon_H159 zenon_H193 zenon_H22 zenon_H26 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H31 zenon_H36 zenon_H3a zenon_H15f zenon_Hbd zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8 zenon_Ha8 zenon_H184. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.17 apply (zenon_L573_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.17 apply (zenon_L572_); trivial. % 1.01/1.17 apply (zenon_L591_); trivial. % 1.01/1.17 (* end of lemma zenon_L592_ *) % 1.01/1.17 assert (zenon_L593_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.17 do 0 intro. intros zenon_H119 zenon_Hf5 zenon_H72 zenon_H2bc zenon_Hbd zenon_Ha3 zenon_Hca zenon_H3a zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H7 zenon_H5 zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H85 zenon_H87 zenon_H216 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1c3 zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.17 apply (zenon_L83_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.17 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.01/1.17 apply (zenon_L201_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.01/1.17 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.17 apply (zenon_L519_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.17 apply (zenon_L567_); trivial. % 1.01/1.17 apply (zenon_L197_); trivial. % 1.01/1.17 (* end of lemma zenon_L593_ *) % 1.01/1.17 assert (zenon_L594_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> False). % 1.01/1.17 do 0 intro. intros zenon_H135 zenon_H72 zenon_H26 zenon_H16a zenon_H16b zenon_H16c zenon_H112 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1d6 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.17 apply (zenon_L519_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.01/1.17 apply (zenon_L400_); trivial. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.01/1.17 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.01/1.17 apply (zenon_L80_); trivial. % 1.01/1.17 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.01/1.17 apply (zenon_L20_); trivial. % 1.01/1.17 apply (zenon_L257_); trivial. % 1.01/1.17 (* end of lemma zenon_L594_ *) % 1.01/1.17 assert (zenon_L595_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H195 zenon_H183 zenon_H22 zenon_H242 zenon_H69 zenon_H138 zenon_Hf1 zenon_Hef zenon_H9 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_H15b zenon_H2bc zenon_H1c3 zenon_H157 zenon_H159 zenon_Hbd zenon_H3a zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H119 zenon_Hf8 zenon_H167 zenon_H15f zenon_H216 zenon_H20d zenon_H202 zenon_H201 zenon_Hed zenon_H71 zenon_H6e zenon_H1d6 zenon_H246 zenon_H1e5 zenon_H112 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H4e zenon_H50 zenon_H26 zenon_H7 zenon_H178 zenon_H184. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.18 apply (zenon_L568_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.18 apply (zenon_L200_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.18 apply (zenon_L593_); trivial. % 1.01/1.18 apply (zenon_L580_); trivial. % 1.01/1.18 apply (zenon_L594_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.18 apply (zenon_L568_); trivial. % 1.01/1.18 apply (zenon_L379_); trivial. % 1.01/1.18 (* end of lemma zenon_L595_ *) % 1.01/1.18 assert (zenon_L596_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H183 zenon_H178 zenon_H1d6 zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H6e zenon_H1e7 zenon_H246 zenon_H4e zenon_H50 zenon_H69 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H167 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15b zenon_H242 zenon_H185 zenon_H186 zenon_H187 zenon_H157 zenon_H159 zenon_H193 zenon_H22 zenon_H26 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H31 zenon_H36 zenon_H3a zenon_H15f zenon_Hbd zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8 zenon_Ha8 zenon_H184. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.18 apply (zenon_L573_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.18 apply (zenon_L572_); trivial. % 1.01/1.18 apply (zenon_L384_); trivial. % 1.01/1.18 (* end of lemma zenon_L596_ *) % 1.01/1.18 assert (zenon_L597_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H49 zenon_H26 zenon_H69 zenon_H66 zenon_H1e7 zenon_H16c zenon_H16b zenon_H16a zenon_H5e zenon_H5d zenon_H5f zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H1d6. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.01/1.18 apply (zenon_L333_); trivial. % 1.01/1.18 apply (zenon_L258_); trivial. % 1.01/1.18 (* end of lemma zenon_L597_ *) % 1.01/1.18 assert (zenon_L598_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H6d zenon_H72 zenon_H26 zenon_H69 zenon_H66 zenon_H1e7 zenon_H16c zenon_H16b zenon_H16a zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H1d6 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.18 apply (zenon_L519_); trivial. % 1.01/1.18 apply (zenon_L597_); trivial. % 1.01/1.18 (* end of lemma zenon_L598_ *) % 1.01/1.18 assert (zenon_L599_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp28)) -> False). % 1.01/1.18 do 0 intro. intros zenon_H216 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H33 zenon_H12 zenon_H201 zenon_H202 zenon_H123 zenon_H124 zenon_H125 zenon_H20d zenon_H81. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 1.01/1.18 apply (zenon_L133_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 1.01/1.18 apply (zenon_L194_); trivial. % 1.01/1.18 exact (zenon_H81 zenon_H82). % 1.01/1.18 (* end of lemma zenon_L599_ *) % 1.01/1.18 assert (zenon_L600_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2342))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp19)) -> False). % 1.01/1.18 do 0 intro. intros zenon_Ha7 zenon_H1c3 zenon_H157 zenon_H28 zenon_H29 zenon_H2a zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H10b zenon_H10a zenon_H109 zenon_H20d zenon_H125 zenon_H124 zenon_H123 zenon_H202 zenon_H201 zenon_H33. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.01/1.18 apply (zenon_L362_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.01/1.18 apply (zenon_L75_); trivial. % 1.01/1.18 apply (zenon_L194_); trivial. % 1.01/1.18 (* end of lemma zenon_L600_ *) % 1.01/1.18 assert (zenon_L601_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H35 zenon_Hac zenon_H1c3 zenon_H74 zenon_H75 zenon_H76 zenon_H157 zenon_H10b zenon_H10a zenon_H109 zenon_H242 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H125 zenon_H124 zenon_H123 zenon_H216. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.18 apply (zenon_L599_); trivial. % 1.01/1.18 apply (zenon_L600_); trivial. % 1.01/1.18 (* end of lemma zenon_L601_ *) % 1.01/1.18 assert (zenon_L602_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H3a zenon_Hac zenon_H1c3 zenon_H74 zenon_H75 zenon_H76 zenon_H157 zenon_H10b zenon_H10a zenon_H109 zenon_H242 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H125 zenon_H124 zenon_H123 zenon_H216 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1 zenon_H2bc. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.18 apply (zenon_L528_); trivial. % 1.01/1.18 apply (zenon_L601_); trivial. % 1.01/1.18 (* end of lemma zenon_L602_ *) % 1.01/1.18 assert (zenon_L603_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H17b zenon_H178 zenon_H26 zenon_H69 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H1d6 zenon_H5 zenon_H7 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H3a zenon_Hca zenon_Ha3 zenon_Hbd zenon_H2bc zenon_H72 zenon_Hf5 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H242 zenon_H1d5 zenon_H1c7 zenon_H6e zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H15b zenon_Hce zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H87 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H138. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.18 apply (zenon_L200_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.18 apply (zenon_L593_); trivial. % 1.01/1.18 apply (zenon_L598_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.18 apply (zenon_L83_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.18 apply (zenon_L602_); trivial. % 1.01/1.18 apply (zenon_L197_); trivial. % 1.01/1.18 apply (zenon_L160_); trivial. % 1.01/1.18 apply (zenon_L594_); trivial. % 1.01/1.18 (* end of lemma zenon_L603_ *) % 1.01/1.18 assert (zenon_L604_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hf4 zenon_H15b zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.18 apply (zenon_L528_); trivial. % 1.01/1.18 apply (zenon_L289_); trivial. % 1.01/1.18 apply (zenon_L390_); trivial. % 1.01/1.18 (* end of lemma zenon_L604_ *) % 1.01/1.18 assert (zenon_L605_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hf8 zenon_H15b zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.18 apply (zenon_L229_); trivial. % 1.01/1.18 apply (zenon_L604_); trivial. % 1.01/1.18 (* end of lemma zenon_L605_ *) % 1.01/1.18 assert (zenon_L606_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H21d zenon_H21e zenon_H21f zenon_H1e5 zenon_H15b zenon_Hf8. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.18 apply (zenon_L605_); trivial. % 1.01/1.18 apply (zenon_L126_); trivial. % 1.01/1.18 (* end of lemma zenon_L606_ *) % 1.01/1.18 assert (zenon_L607_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hf4 zenon_H15b zenon_H6e zenon_H1c7 zenon_H112 zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H266 zenon_H179 zenon_H16b zenon_H16c zenon_H242 zenon_H1d5 zenon_H3a. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.18 apply (zenon_L589_); trivial. % 1.01/1.18 apply (zenon_L390_); trivial. % 1.01/1.18 (* end of lemma zenon_L607_ *) % 1.01/1.18 assert (zenon_L608_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H21d zenon_H21e zenon_H21f zenon_H1e5 zenon_H15b zenon_Hf8. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.18 apply (zenon_L605_); trivial. % 1.01/1.18 apply (zenon_L116_); trivial. % 1.01/1.18 (* end of lemma zenon_L608_ *) % 1.01/1.18 assert (zenon_L609_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H138 zenon_H72 zenon_H244 zenon_H239 zenon_H237 zenon_H238 zenon_H1d6 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.18 apply (zenon_L210_); trivial. % 1.01/1.18 apply (zenon_L576_); trivial. % 1.01/1.18 (* end of lemma zenon_L609_ *) % 1.01/1.18 assert (zenon_L610_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H1f3 zenon_H198 zenon_H17c zenon_Hf3 zenon_Hde zenon_Hed zenon_H1ee zenon_H1d6 zenon_H72 zenon_H138 zenon_H184 zenon_Ha8 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H21d zenon_H21e zenon_H21f zenon_H1e5 zenon_H15b zenon_Hf8 zenon_Hbb zenon_H244 zenon_H183. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.18 apply (zenon_L606_); trivial. % 1.01/1.18 apply (zenon_L505_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.18 apply (zenon_L609_); trivial. % 1.01/1.18 apply (zenon_L116_); trivial. % 1.01/1.18 (* end of lemma zenon_L610_ *) % 1.01/1.18 assert (zenon_L611_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H1f8 zenon_Hde zenon_H1ee zenon_Hbb zenon_H244 zenon_H183 zenon_H178 zenon_H173 zenon_H161 zenon_H69 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H22e zenon_H26 zenon_H50 zenon_H246 zenon_H1d6 zenon_H72 zenon_H138 zenon_Hf8 zenon_H15b zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Ha8 zenon_H184 zenon_H17c zenon_H198. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.18 apply (zenon_L606_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.18 apply (zenon_L605_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.18 apply (zenon_L398_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.18 apply (zenon_L260_); trivial. % 1.01/1.18 apply (zenon_L607_); trivial. % 1.01/1.18 apply (zenon_L608_); trivial. % 1.01/1.18 apply (zenon_L610_); trivial. % 1.01/1.18 (* end of lemma zenon_L611_ *) % 1.01/1.18 assert (zenon_L612_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H17b zenon_H178 zenon_Hf8 zenon_H15b zenon_H1c7 zenon_H112 zenon_H1e5 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H3a zenon_H119 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H1e7 zenon_H107 zenon_H69 zenon_H71 zenon_Hf3 zenon_H167 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H22e zenon_H12e zenon_H12d zenon_H12c zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.18 apply (zenon_L398_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.18 apply (zenon_L350_); trivial. % 1.01/1.18 apply (zenon_L607_); trivial. % 1.01/1.18 (* end of lemma zenon_L612_ *) % 1.01/1.18 assert (zenon_L613_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H1f8 zenon_Hde zenon_H1ee zenon_Hbb zenon_H244 zenon_H183 zenon_H178 zenon_H119 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H1e7 zenon_H107 zenon_H69 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H22e zenon_H26 zenon_H50 zenon_H246 zenon_H1d6 zenon_H72 zenon_H138 zenon_Hf8 zenon_H15b zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Ha8 zenon_H184 zenon_H17c zenon_H198. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.18 apply (zenon_L606_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.18 apply (zenon_L605_); trivial. % 1.01/1.18 apply (zenon_L612_); trivial. % 1.01/1.18 apply (zenon_L608_); trivial. % 1.01/1.18 apply (zenon_L610_); trivial. % 1.01/1.18 (* end of lemma zenon_L613_ *) % 1.01/1.18 assert (zenon_L614_ : ((ndr1_0)/\((c0_1 (a2285))/\((c1_1 (a2285))/\(~(c3_1 (a2285)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a2286))/\((~(c0_1 (a2286)))/\(~(c2_1 (a2286))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H27f zenon_H280 zenon_H107 zenon_H20d zenon_H1c3 zenon_H119 zenon_H1f8 zenon_Hde zenon_H1ee zenon_Hbb zenon_H244 zenon_H183 zenon_H178 zenon_H173 zenon_H69 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H22e zenon_H26 zenon_H50 zenon_H246 zenon_H1d6 zenon_H72 zenon_H138 zenon_Hf8 zenon_H15b zenon_H1e5 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H6e zenon_H3a zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Ha8 zenon_H184 zenon_H17c zenon_H198 zenon_H234 zenon_H159 zenon_H1e7 zenon_H218. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.01/1.18 apply (zenon_L611_); trivial. % 1.01/1.18 apply (zenon_L408_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.01/1.18 apply (zenon_L613_); trivial. % 1.01/1.18 apply (zenon_L408_); trivial. % 1.01/1.18 (* end of lemma zenon_L614_ *) % 1.01/1.18 assert (zenon_L615_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c2_1 (a2367)) -> (c1_1 (a2367)) -> (~(c0_1 (a2367))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (ndr1_0) -> (~(c2_1 (a2327))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a2327))) -> (c3_1 (a2327)) -> False). % 1.01/1.18 do 0 intro. intros zenon_H1c3 zenon_H55 zenon_H54 zenon_H53 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H10b zenon_H10a zenon_H109 zenon_H12 zenon_H3d zenon_Hb2 zenon_H3c zenon_H3e. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.01/1.18 apply (zenon_L476_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.01/1.18 apply (zenon_L75_); trivial. % 1.01/1.18 apply (zenon_L48_); trivial. % 1.01/1.18 (* end of lemma zenon_L615_ *) % 1.01/1.18 assert (zenon_L616_ : ((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (c3_1 (a2327)) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp1)) -> False). % 1.01/1.18 do 0 intro. intros zenon_H68 zenon_H244 zenon_H3e zenon_H3c zenon_H3d zenon_H109 zenon_H10a zenon_H10b zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H12e zenon_H12d zenon_H12c zenon_Hbb. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 1.01/1.18 apply (zenon_L615_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 1.01/1.18 apply (zenon_L85_); trivial. % 1.01/1.18 exact (zenon_Hbb zenon_Hbc). % 1.01/1.18 (* end of lemma zenon_L616_ *) % 1.01/1.18 assert (zenon_L617_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H49 zenon_H6e zenon_H244 zenon_Hbb zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H109 zenon_H10a zenon_H10b zenon_H1c3 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H4e zenon_H50 zenon_H26. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.01/1.18 apply (zenon_L242_); trivial. % 1.01/1.18 apply (zenon_L616_); trivial. % 1.01/1.18 (* end of lemma zenon_L617_ *) % 1.01/1.18 assert (zenon_L618_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H138 zenon_H119 zenon_H72 zenon_H6e zenon_H244 zenon_Hbb zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H193 zenon_H31 zenon_H36 zenon_H3a zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H165 zenon_H167 zenon_Hf3 zenon_H71. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.18 apply (zenon_L83_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.18 apply (zenon_L240_); trivial. % 1.01/1.18 apply (zenon_L617_); trivial. % 1.01/1.18 apply (zenon_L199_); trivial. % 1.01/1.18 apply (zenon_L109_); trivial. % 1.01/1.18 (* end of lemma zenon_L618_ *) % 1.01/1.18 assert (zenon_L619_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hf4 zenon_H119 zenon_H72 zenon_H244 zenon_Hbb zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H26 zenon_H22 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H50 zenon_H4e zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H6e zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.18 apply (zenon_L83_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.18 apply (zenon_L266_); trivial. % 1.01/1.18 apply (zenon_L617_); trivial. % 1.01/1.18 (* end of lemma zenon_L619_ *) % 1.01/1.18 assert (zenon_L620_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H119 zenon_H72 zenon_H244 zenon_Hbb zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H22 zenon_H12c zenon_H12d zenon_H12e zenon_H50 zenon_H4e zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H6e zenon_H3a zenon_H107 zenon_H173 zenon_H161 zenon_H69 zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H1e5 zenon_H112 zenon_H26 zenon_H71. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.18 apply (zenon_L260_); trivial. % 1.01/1.18 apply (zenon_L619_); trivial. % 1.01/1.18 (* end of lemma zenon_L620_ *) % 1.01/1.18 assert (zenon_L621_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H17b zenon_H178 zenon_Hf8 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H173 zenon_H161 zenon_H69 zenon_H239 zenon_H237 zenon_H238 zenon_H1e5 zenon_H112 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H3a zenon_H36 zenon_H31 zenon_H193 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_Hbb zenon_H244 zenon_H6e zenon_H72 zenon_H119 zenon_H138. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.18 apply (zenon_L618_); trivial. % 1.01/1.18 apply (zenon_L620_); trivial. % 1.01/1.18 (* end of lemma zenon_L621_ *) % 1.01/1.18 assert (zenon_L622_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H180 zenon_H184 zenon_H266 zenon_H179 zenon_H1d5 zenon_H69 zenon_H1e5 zenon_H112 zenon_H107 zenon_H36 zenon_H31 zenon_H193 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H244 zenon_H6e zenon_H72 zenon_H119 zenon_H138 zenon_Hf1 zenon_Hef zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_H15b zenon_H159 zenon_H187 zenon_H186 zenon_H185 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H7f zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H71 zenon_Hde zenon_Hed zenon_H173 zenon_H178. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.18 apply (zenon_L537_); trivial. % 1.01/1.18 apply (zenon_L621_); trivial. % 1.01/1.18 (* end of lemma zenon_L622_ *) % 1.01/1.18 assert (zenon_L623_ : ((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a2327)) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2345)) -> (~(c1_1 (a2345))) -> (~(c0_1 (a2345))) -> (~(hskp0)) -> False). % 1.01/1.18 do 0 intro. intros zenon_H68 zenon_Hca zenon_H3e zenon_H3c zenon_H3d zenon_H109 zenon_H10a zenon_H10b zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_Ha3. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hcd ]. % 1.01/1.18 apply (zenon_L615_); trivial. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hbf | zenon_intro zenon_Ha4 ]. % 1.01/1.18 apply (zenon_L51_); trivial. % 1.01/1.18 exact (zenon_Ha3 zenon_Ha4). % 1.01/1.18 (* end of lemma zenon_L623_ *) % 1.01/1.18 assert (zenon_L624_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.01/1.18 do 0 intro. intros zenon_Hf8 zenon_H119 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H15f zenon_H159 zenon_H157 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H6e zenon_H15b zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_H85 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.18 apply (zenon_L229_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.18 apply (zenon_L181_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.18 apply (zenon_L519_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.18 apply (zenon_L101_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.18 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.18 apply (zenon_L97_); trivial. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.01/1.18 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.01/1.18 apply (zenon_L151_); trivial. % 1.01/1.18 apply (zenon_L623_); trivial. % 1.01/1.18 apply (zenon_L58_); trivial. % 1.01/1.18 (* end of lemma zenon_L624_ *) % 1.01/1.18 assert (zenon_L625_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H138 zenon_Hf9 zenon_H4e zenon_H186 zenon_H185 zenon_H187 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_H15b zenon_H6e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H157 zenon_H159 zenon_H15f zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H119 zenon_Hf8. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.18 apply (zenon_L624_); trivial. % 1.01/1.18 apply (zenon_L167_); trivial. % 1.01/1.18 (* end of lemma zenon_L625_ *) % 1.01/1.18 assert (zenon_L626_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H179 zenon_Hf8 zenon_H119 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H15f zenon_H159 zenon_H157 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H6e zenon_H15b zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H187 zenon_H185 zenon_H186 zenon_H4e zenon_Hf9 zenon_H138. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.18 apply (zenon_L625_); trivial. % 1.01/1.18 apply (zenon_L116_); trivial. % 1.01/1.18 (* end of lemma zenon_L626_ *) % 1.01/1.18 assert (zenon_L627_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H138 zenon_H3a zenon_H242 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_H15b zenon_H6e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H157 zenon_H159 zenon_H15f zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H119 zenon_Hf8. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.18 apply (zenon_L624_); trivial. % 1.01/1.18 apply (zenon_L554_); trivial. % 1.01/1.18 (* end of lemma zenon_L627_ *) % 1.01/1.18 assert (zenon_L628_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.18 do 0 intro. intros zenon_H17b zenon_H178 zenon_H112 zenon_H1e5 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H107 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.18 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.18 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.18 apply (zenon_L579_); trivial. % 1.01/1.18 apply (zenon_L325_); trivial. % 1.01/1.18 (* end of lemma zenon_L628_ *) % 1.01/1.18 assert (zenon_L629_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H195 zenon_H184 zenon_H178 zenon_H1e5 zenon_H1e7 zenon_H167 zenon_H9 zenon_H161 zenon_H163 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_Hf8 zenon_H119 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H15f zenon_H159 zenon_H157 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H6e zenon_H15b zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H242 zenon_H3a zenon_H138. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.19 apply (zenon_L627_); trivial. % 1.01/1.19 apply (zenon_L628_); trivial. % 1.01/1.19 (* end of lemma zenon_L629_ *) % 1.01/1.19 assert (zenon_L630_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H138 zenon_Hf1 zenon_Hef zenon_H9 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_H15b zenon_H6e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H157 zenon_H159 zenon_H15f zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H119 zenon_Hf8. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.19 apply (zenon_L624_); trivial. % 1.01/1.19 apply (zenon_L109_); trivial. % 1.01/1.19 (* end of lemma zenon_L630_ *) % 1.01/1.19 assert (zenon_L631_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H179 zenon_Hf8 zenon_H119 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H15f zenon_H159 zenon_H157 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H6e zenon_H15b zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H9 zenon_Hef zenon_Hf1 zenon_H138. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.19 apply (zenon_L630_); trivial. % 1.01/1.19 apply (zenon_L116_); trivial. % 1.01/1.19 (* end of lemma zenon_L631_ *) % 1.01/1.19 assert (zenon_L632_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H138 zenon_H244 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_H15b zenon_H6e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H157 zenon_H159 zenon_H15f zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H119 zenon_Hf8. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.19 apply (zenon_L624_); trivial. % 1.01/1.19 apply (zenon_L576_); trivial. % 1.01/1.19 (* end of lemma zenon_L632_ *) % 1.01/1.19 assert (zenon_L633_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H179 zenon_Hf8 zenon_H119 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H15f zenon_H159 zenon_H157 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H6e zenon_H15b zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H244 zenon_H138. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.19 apply (zenon_L632_); trivial. % 1.01/1.19 apply (zenon_L116_); trivial. % 1.01/1.19 (* end of lemma zenon_L633_ *) % 1.01/1.19 assert (zenon_L634_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2284))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X)))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_Had zenon_H2a1 zenon_H3e zenon_H3d zenon_H3c zenon_H89 zenon_H12 zenon_H239 zenon_H237 zenon_H238. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.01/1.19 apply (zenon_L475_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.01/1.19 apply (zenon_L20_); trivial. % 1.01/1.19 apply (zenon_L251_); trivial. % 1.01/1.19 (* end of lemma zenon_L634_ *) % 1.01/1.19 assert (zenon_L635_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X)))))) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (c3_1 (a2327)) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp0)) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> (c3_1 (a2278)) -> (~(c1_1 (a2325))) -> (~(c0_1 (a2325))) -> (c2_1 (a2325)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.01/1.19 do 0 intro. intros zenon_H1c3 zenon_H238 zenon_H237 zenon_H239 zenon_H89 zenon_H3c zenon_H3d zenon_H3e zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H10b zenon_H10a zenon_H109 zenon_H20d zenon_Ha3 zenon_H9a zenon_H9b zenon_H9c zenon_H8a zenon_H8c zenon_H8d zenon_Ha5 zenon_H202 zenon_H201 zenon_H12 zenon_H33. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.01/1.19 apply (zenon_L634_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.01/1.19 apply (zenon_L75_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H8b | zenon_intro zenon_H20e ]. % 1.01/1.19 apply (zenon_L44_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H5c | zenon_intro zenon_H34 ]. % 1.01/1.19 apply (zenon_L172_); trivial. % 1.01/1.19 exact (zenon_H33 zenon_H34). % 1.01/1.19 (* end of lemma zenon_L635_ *) % 1.01/1.19 assert (zenon_L636_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (ndr1_0) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H119 zenon_H3a zenon_H36 zenon_H33 zenon_H31 zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H6e zenon_H244 zenon_H238 zenon_H237 zenon_H239 zenon_H20d zenon_H202 zenon_H201 zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H4e zenon_H50 zenon_Hbd zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_H85 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H12 zenon_H74 zenon_H75 zenon_H76 zenon_H7f zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.19 apply (zenon_L181_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.01/1.19 apply (zenon_L36_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.19 apply (zenon_L19_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.01/1.19 apply (zenon_L27_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.19 apply (zenon_L40_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 1.01/1.19 apply (zenon_L615_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 1.01/1.19 apply (zenon_L635_); trivial. % 1.01/1.19 exact (zenon_Hbb zenon_Hbc). % 1.01/1.19 apply (zenon_L52_); trivial. % 1.01/1.19 apply (zenon_L58_); trivial. % 1.01/1.19 (* end of lemma zenon_L636_ *) % 1.01/1.19 assert (zenon_L637_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H138 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H3a zenon_H36 zenon_H31 zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H6e zenon_H244 zenon_H20d zenon_H202 zenon_H201 zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H4e zenon_H50 zenon_Hbd zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf1 zenon_Hef zenon_Hed zenon_H71 zenon_Hf8. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.19 apply (zenon_L229_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.19 apply (zenon_L636_); trivial. % 1.01/1.19 apply (zenon_L64_); trivial. % 1.01/1.19 apply (zenon_L109_); trivial. % 1.01/1.19 (* end of lemma zenon_L637_ *) % 1.01/1.19 assert (zenon_L638_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_Hf8 zenon_H71 zenon_Hed zenon_Hef zenon_Hf1 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_Hbd zenon_H50 zenon_H4e zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H201 zenon_H202 zenon_H20d zenon_H244 zenon_H6e zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H31 zenon_H36 zenon_H3a zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H138. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.19 apply (zenon_L637_); trivial. % 1.01/1.19 apply (zenon_L126_); trivial. % 1.01/1.19 (* end of lemma zenon_L638_ *) % 1.01/1.19 assert (zenon_L639_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp19)) -> False). % 1.01/1.19 do 0 intro. intros zenon_H49 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H10b zenon_H10a zenon_H109 zenon_H20d zenon_H125 zenon_H124 zenon_H123 zenon_H202 zenon_H201 zenon_H33. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.01/1.19 apply (zenon_L481_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.01/1.19 apply (zenon_L75_); trivial. % 1.01/1.19 apply (zenon_L194_); trivial. % 1.01/1.19 (* end of lemma zenon_L639_ *) % 1.01/1.19 assert (zenon_L640_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H71 zenon_H6e zenon_H69 zenon_H66 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H3a zenon_H36 zenon_H31 zenon_H193 zenon_H22 zenon_H26 zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H72 zenon_H119. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.19 apply (zenon_L83_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.19 apply (zenon_L240_); trivial. % 1.01/1.19 apply (zenon_L639_); trivial. % 1.01/1.19 apply (zenon_L248_); trivial. % 1.01/1.19 (* end of lemma zenon_L640_ *) % 1.01/1.19 assert (zenon_L641_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H17b zenon_Hf8 zenon_H244 zenon_Hbb zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H119 zenon_H72 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H26 zenon_H22 zenon_H193 zenon_H31 zenon_H36 zenon_H3a zenon_H107 zenon_H50 zenon_H4e zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H69 zenon_H6e zenon_H71. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.19 apply (zenon_L640_); trivial. % 1.01/1.19 apply (zenon_L619_); trivial. % 1.01/1.19 (* end of lemma zenon_L641_ *) % 1.01/1.19 assert (zenon_L642_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.19 do 0 intro. intros zenon_H119 zenon_H72 zenon_H1c3 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.19 apply (zenon_L83_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.19 apply (zenon_L519_); trivial. % 1.01/1.19 apply (zenon_L639_); trivial. % 1.01/1.19 (* end of lemma zenon_L642_ *) % 1.01/1.19 assert (zenon_L643_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H6d zenon_Hf3 zenon_H167 zenon_H165 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H66 zenon_H69 zenon_Hed zenon_H85 zenon_H1d6 zenon_H6e zenon_H72. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.19 apply (zenon_L519_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.01/1.19 apply (zenon_L253_); trivial. % 1.01/1.19 apply (zenon_L26_); trivial. % 1.01/1.19 apply (zenon_L184_); trivial. % 1.01/1.19 apply (zenon_L106_); trivial. % 1.01/1.19 (* end of lemma zenon_L643_ *) % 1.01/1.19 assert (zenon_L644_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (~(hskp21)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H35 zenon_H6e zenon_H1d6 zenon_H3e zenon_H3d zenon_H3c zenon_H5e zenon_H5d zenon_H5f zenon_H7d zenon_H85 zenon_Hed zenon_H1c7 zenon_H112 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H1d5. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.01/1.19 apply (zenon_L288_); trivial. % 1.01/1.19 apply (zenon_L184_); trivial. % 1.01/1.19 (* end of lemma zenon_L644_ *) % 1.01/1.19 assert (zenon_L645_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H6d zenon_Hf3 zenon_H167 zenon_H165 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H1d5 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H112 zenon_H1c7 zenon_Hed zenon_H85 zenon_H1d6 zenon_H6e zenon_H3a zenon_H72. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.19 apply (zenon_L519_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.19 apply (zenon_L523_); trivial. % 1.01/1.19 apply (zenon_L644_); trivial. % 1.01/1.19 apply (zenon_L106_); trivial. % 1.01/1.19 (* end of lemma zenon_L645_ *) % 1.01/1.19 assert (zenon_L646_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_Hf3 zenon_H167 zenon_H165 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_Hed zenon_H85 zenon_H6e zenon_H3a zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H72 zenon_H119. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.19 apply (zenon_L642_); trivial. % 1.01/1.19 apply (zenon_L645_); trivial. % 1.01/1.19 (* end of lemma zenon_L646_ *) % 1.01/1.19 assert (zenon_L647_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H17b zenon_H178 zenon_H1e5 zenon_H1e7 zenon_Hf8 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H3a zenon_H119 zenon_H72 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H107 zenon_H6e zenon_Hed zenon_H69 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H167 zenon_Hf3 zenon_H71 zenon_H138. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.19 apply (zenon_L642_); trivial. % 1.01/1.19 apply (zenon_L643_); trivial. % 1.01/1.19 apply (zenon_L646_); trivial. % 1.01/1.19 apply (zenon_L561_); trivial. % 1.01/1.19 apply (zenon_L325_); trivial. % 1.01/1.19 (* end of lemma zenon_L647_ *) % 1.01/1.19 assert (zenon_L648_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H195 zenon_H184 zenon_H178 zenon_H1e5 zenon_H1e7 zenon_H201 zenon_H202 zenon_H20d zenon_Hed zenon_H69 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H167 zenon_H71 zenon_Hf8 zenon_H119 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H15f zenon_H159 zenon_H157 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H6e zenon_H15b zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H242 zenon_H3a zenon_H138. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.19 apply (zenon_L627_); trivial. % 1.01/1.19 apply (zenon_L647_); trivial. % 1.01/1.19 (* end of lemma zenon_L648_ *) % 1.01/1.19 assert (zenon_L649_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H183 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H3a zenon_H36 zenon_H31 zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H244 zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_Hbd zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf1 zenon_Hef zenon_Hed zenon_H71 zenon_Hf8 zenon_Ha8 zenon_H184. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.19 apply (zenon_L229_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.19 apply (zenon_L181_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.01/1.19 apply (zenon_L36_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.19 apply (zenon_L19_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.19 apply (zenon_L40_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 1.01/1.19 apply (zenon_L133_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 1.01/1.19 apply (zenon_L635_); trivial. % 1.01/1.19 exact (zenon_Hbb zenon_Hbc). % 1.01/1.19 apply (zenon_L52_); trivial. % 1.01/1.19 apply (zenon_L58_); trivial. % 1.01/1.19 apply (zenon_L64_); trivial. % 1.01/1.19 apply (zenon_L109_); trivial. % 1.01/1.19 apply (zenon_L126_); trivial. % 1.01/1.19 apply (zenon_L505_); trivial. % 1.01/1.19 (* end of lemma zenon_L649_ *) % 1.01/1.19 assert (zenon_L650_ : ((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H1fb zenon_H198 zenon_H17c zenon_H179 zenon_H1ee zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H6e zenon_H184 zenon_Ha8 zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H7f zenon_Hac zenon_H107 zenon_Ha3 zenon_Ha5 zenon_H87 zenon_Hca zenon_Hce zenon_Hf5 zenon_H72 zenon_Hbd zenon_H15f zenon_H3a zenon_H36 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H26 zenon_H22 zenon_H193 zenon_H159 zenon_H157 zenon_H242 zenon_H15b zenon_H119 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H138 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H244 zenon_H183. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.19 apply (zenon_L574_); trivial. % 1.01/1.19 apply (zenon_L633_); trivial. % 1.01/1.19 (* end of lemma zenon_L650_ *) % 1.01/1.19 assert (zenon_L651_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H6d zenon_Hf3 zenon_H167 zenon_H165 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1d6 zenon_H238 zenon_H237 zenon_H239 zenon_H85 zenon_Hed zenon_Hbb zenon_H244 zenon_H72. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.19 apply (zenon_L519_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 1.01/1.19 apply (zenon_L133_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.01/1.19 apply (zenon_L61_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.01/1.19 apply (zenon_L20_); trivial. % 1.01/1.19 apply (zenon_L251_); trivial. % 1.01/1.19 exact (zenon_Hbb zenon_Hbc). % 1.01/1.19 apply (zenon_L106_); trivial. % 1.01/1.19 (* end of lemma zenon_L651_ *) % 1.01/1.19 assert (zenon_L652_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H138 zenon_H119 zenon_H72 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H244 zenon_Hbb zenon_Hed zenon_H239 zenon_H237 zenon_H238 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H165 zenon_H167 zenon_Hf3 zenon_H71. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.19 apply (zenon_L642_); trivial. % 1.01/1.19 apply (zenon_L651_); trivial. % 1.01/1.19 apply (zenon_L576_); trivial. % 1.01/1.19 (* end of lemma zenon_L652_ *) % 1.01/1.19 assert (zenon_L653_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H17b zenon_H178 zenon_H26 zenon_H112 zenon_H1e5 zenon_H246 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7 zenon_H71 zenon_Hf3 zenon_H167 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H238 zenon_H237 zenon_H239 zenon_Hed zenon_Hbb zenon_H244 zenon_H107 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H72 zenon_H119 zenon_H138. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.19 apply (zenon_L652_); trivial. % 1.01/1.19 apply (zenon_L325_); trivial. % 1.01/1.19 (* end of lemma zenon_L653_ *) % 1.01/1.19 assert (zenon_L654_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H138 zenon_H6e zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H119 zenon_H72 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H165 zenon_H167 zenon_Hf3 zenon_H71. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.19 apply (zenon_L642_); trivial. % 1.01/1.19 apply (zenon_L199_); trivial. % 1.01/1.19 apply (zenon_L561_); trivial. % 1.01/1.19 (* end of lemma zenon_L654_ *) % 1.01/1.19 assert (zenon_L655_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H17b zenon_H178 zenon_H1e5 zenon_H112 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H72 zenon_H119 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H6e zenon_H138. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.19 apply (zenon_L654_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.19 apply (zenon_L642_); trivial. % 1.01/1.19 apply (zenon_L580_); trivial. % 1.01/1.19 (* end of lemma zenon_L655_ *) % 1.01/1.19 assert (zenon_L656_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H17b zenon_H178 zenon_H26 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H246 zenon_H71 zenon_Hf3 zenon_H167 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H238 zenon_H237 zenon_H239 zenon_Hed zenon_Hbb zenon_H244 zenon_H107 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H72 zenon_H119 zenon_H138. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.19 apply (zenon_L652_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.19 apply (zenon_L642_); trivial. % 1.01/1.19 apply (zenon_L586_); trivial. % 1.01/1.19 (* end of lemma zenon_L656_ *) % 1.01/1.19 assert (zenon_L657_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H195 zenon_H184 zenon_H178 zenon_H26 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H246 zenon_H71 zenon_H167 zenon_Hed zenon_H20d zenon_H202 zenon_H201 zenon_Hf8 zenon_H119 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H15f zenon_H159 zenon_H157 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H6e zenon_H15b zenon_H72 zenon_Hf5 zenon_Hce zenon_Hca zenon_H87 zenon_Ha5 zenon_Ha3 zenon_H107 zenon_Hac zenon_H7f zenon_Hbb zenon_Hde zenon_Hf3 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H244 zenon_H138. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.19 apply (zenon_L632_); trivial. % 1.01/1.19 apply (zenon_L656_); trivial. % 1.01/1.19 (* end of lemma zenon_L657_ *) % 1.01/1.19 assert (zenon_L658_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(hskp19)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> (~(c2_1 (a2342))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp1)) -> False). % 1.01/1.19 do 0 intro. intros zenon_H21 zenon_H244 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H33 zenon_H201 zenon_H202 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H2a zenon_H29 zenon_H28 zenon_H20d zenon_H109 zenon_H10a zenon_H10b zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H3e zenon_H3d zenon_H3c zenon_H239 zenon_H237 zenon_H238 zenon_H1c3 zenon_Hbb. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 1.01/1.19 apply (zenon_L133_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.01/1.19 apply (zenon_L634_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.01/1.19 apply (zenon_L75_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H8b | zenon_intro zenon_H20e ]. % 1.01/1.19 apply (zenon_L309_); trivial. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H5c | zenon_intro zenon_H34 ]. % 1.01/1.19 apply (zenon_L172_); trivial. % 1.01/1.19 exact (zenon_H33 zenon_H34). % 1.01/1.19 exact (zenon_Hbb zenon_Hbc). % 1.01/1.19 (* end of lemma zenon_L658_ *) % 1.01/1.19 assert (zenon_L659_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.01/1.19 do 0 intro. intros zenon_Hf8 zenon_H71 zenon_Hf3 zenon_H167 zenon_H165 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_Hed zenon_H6e zenon_H3a zenon_H26 zenon_H107 zenon_H242 zenon_H85 zenon_H26a zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H1ee zenon_H13c zenon_H13b zenon_H13a zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_Hbb zenon_H244 zenon_H72 zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.19 apply (zenon_L229_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.19 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.19 apply (zenon_L548_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.19 apply (zenon_L519_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.19 apply (zenon_L523_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.01/1.19 apply (zenon_L307_); trivial. % 1.01/1.19 apply (zenon_L658_); trivial. % 1.01/1.19 apply (zenon_L645_); trivial. % 1.01/1.19 (* end of lemma zenon_L659_ *) % 1.01/1.19 assert (zenon_L660_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H135 zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H26 zenon_H50 zenon_H4e zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H1d6 zenon_H6e zenon_H72. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.19 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.19 apply (zenon_L519_); trivial. % 1.01/1.19 apply (zenon_L452_); trivial. % 1.01/1.19 apply (zenon_L58_); trivial. % 1.01/1.19 (* end of lemma zenon_L660_ *) % 1.01/1.19 assert (zenon_L661_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.19 do 0 intro. intros zenon_H17b zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H107 zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H119. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.19 apply (zenon_L447_); trivial. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.19 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.19 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.19 apply (zenon_L519_); trivial. % 1.01/1.19 apply (zenon_L396_); trivial. % 1.01/1.19 (* end of lemma zenon_L661_ *) % 1.01/1.19 assert (zenon_L662_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H195 zenon_H183 zenon_H184 zenon_H246 zenon_H119 zenon_H216 zenon_H159 zenon_Hbb zenon_H157 zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_Hac zenon_Ha5 zenon_Ha3 zenon_H87 zenon_H107 zenon_Hca zenon_Hce zenon_H6e zenon_H1d6 zenon_H28f zenon_H4e zenon_H50 zenon_H26 zenon_Hde zenon_Hf3 zenon_H138 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H45 zenon_H47 zenon_H72. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.20 apply (zenon_L520_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.20 apply (zenon_L87_); trivial. % 1.01/1.20 apply (zenon_L446_); trivial. % 1.01/1.20 apply (zenon_L660_); trivial. % 1.01/1.20 apply (zenon_L661_); trivial. % 1.01/1.20 (* end of lemma zenon_L662_ *) % 1.01/1.20 assert (zenon_L663_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> (~(hskp1)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (ndr1_0) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H71 zenon_Hf3 zenon_Hde zenon_Hdc zenon_Hbb zenon_H26 zenon_H50 zenon_H4e zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H66 zenon_H69 zenon_H6e zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H12 zenon_H31 zenon_H36 zenon_H3a. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.20 apply (zenon_L525_); trivial. % 1.01/1.20 apply (zenon_L418_); trivial. % 1.01/1.20 (* end of lemma zenon_L663_ *) % 1.01/1.20 assert (zenon_L664_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_Hf4 zenon_H72 zenon_H1d6 zenon_H11c zenon_H11b zenon_H11a zenon_H26 zenon_H22 zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H50 zenon_H4e zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H6e zenon_H3a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.20 apply (zenon_L266_); trivial. % 1.01/1.20 apply (zenon_L396_); trivial. % 1.01/1.20 (* end of lemma zenon_L664_ *) % 1.01/1.20 assert (zenon_L665_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_H72 zenon_H1d6 zenon_H22 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H3a zenon_H36 zenon_H31 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H26 zenon_H50 zenon_H4e zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H69 zenon_H6e zenon_H71. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.20 apply (zenon_L545_); trivial. % 1.01/1.20 apply (zenon_L664_); trivial. % 1.01/1.20 (* end of lemma zenon_L665_ *) % 1.01/1.20 assert (zenon_L666_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2302)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (ndr1_0) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 1.01/1.20 do 0 intro. intros zenon_H1e7 zenon_H124 zenon_Had zenon_H123 zenon_H19c zenon_H19b zenon_H19a zenon_H12 zenon_H16a zenon_H16b zenon_H16c. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 1.01/1.20 apply (zenon_L433_); trivial. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 1.01/1.20 apply (zenon_L130_); trivial. % 1.01/1.20 apply (zenon_L110_); trivial. % 1.01/1.20 (* end of lemma zenon_L666_ *) % 1.01/1.20 assert (zenon_L667_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.20 do 0 intro. intros zenon_H175 zenon_H119 zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.20 apply (zenon_L83_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.01/1.20 apply (zenon_L666_); trivial. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.01/1.20 apply (zenon_L75_); trivial. % 1.01/1.20 apply (zenon_L413_); trivial. % 1.01/1.20 (* end of lemma zenon_L667_ *) % 1.01/1.20 assert (zenon_L668_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H17b zenon_H178 zenon_H119 zenon_H1c3 zenon_H1e7 zenon_H107 zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H3a zenon_H36 zenon_H31 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H26 zenon_H50 zenon_H4e zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H69 zenon_H6e zenon_H71 zenon_H1d5 zenon_H242 zenon_H179 zenon_H266 zenon_H22 zenon_H1d6 zenon_H72 zenon_H138. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.20 apply (zenon_L545_); trivial. % 1.01/1.20 apply (zenon_L427_); trivial. % 1.01/1.20 apply (zenon_L665_); trivial. % 1.01/1.20 apply (zenon_L667_); trivial. % 1.01/1.20 (* end of lemma zenon_L668_ *) % 1.01/1.20 assert (zenon_L669_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H1f0 zenon_H198 zenon_H216 zenon_H159 zenon_H157 zenon_H87 zenon_Hca zenon_Hce zenon_H1ee zenon_H184 zenon_Ha8 zenon_H71 zenon_H50 zenon_H4e zenon_H69 zenon_H6e zenon_H72 zenon_H47 zenon_H45 zenon_H26 zenon_H22 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H36 zenon_H3a zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf5 zenon_Hbd zenon_H7f zenon_Hf8 zenon_H178 zenon_H1e7 zenon_H242 zenon_H167 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2ba zenon_Hf9 zenon_Ha3 zenon_Ha5 zenon_Hac zenon_H138 zenon_H1d6 zenon_H266 zenon_H179 zenon_H1d5 zenon_H246 zenon_H107 zenon_H1c3 zenon_H119 zenon_H183. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.20 apply (zenon_L423_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.20 apply (zenon_L663_); trivial. % 1.01/1.20 apply (zenon_L427_); trivial. % 1.01/1.20 apply (zenon_L90_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.20 apply (zenon_L663_); trivial. % 1.01/1.20 apply (zenon_L556_); trivial. % 1.01/1.20 apply (zenon_L668_); trivial. % 1.01/1.20 apply (zenon_L662_); trivial. % 1.01/1.20 (* end of lemma zenon_L669_ *) % 1.01/1.20 assert (zenon_L670_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c1_1 (a2287))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c2_1 (a2299)) -> (~(hskp12)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.20 do 0 intro. intros zenon_H17b zenon_H119 zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H21c zenon_H1d9 zenon_H1da zenon_H12d zenon_H12c zenon_H12e zenon_H31 zenon_H234 zenon_H107. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.20 apply (zenon_L83_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.01/1.20 apply (zenon_L328_); trivial. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.01/1.20 apply (zenon_L75_); trivial. % 1.01/1.20 apply (zenon_L413_); trivial. % 1.01/1.20 (* end of lemma zenon_L670_ *) % 1.01/1.20 assert (zenon_L671_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> (~(c1_1 (a2287))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H183 zenon_H21c zenon_H1d9 zenon_H1da zenon_H234 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hce zenon_Hca zenon_H107 zenon_H87 zenon_Ha3 zenon_Ha5 zenon_Hac zenon_H291 zenon_H1c3 zenon_H119 zenon_H138 zenon_Hf8 zenon_H7f zenon_Hbd zenon_Hf5 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H22 zenon_H26 zenon_H45 zenon_H47 zenon_H72 zenon_H6e zenon_H69 zenon_H4e zenon_H50 zenon_H71 zenon_Ha8 zenon_H184. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.20 apply (zenon_L423_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.20 apply (zenon_L426_); trivial. % 1.01/1.20 apply (zenon_L670_); trivial. % 1.01/1.20 (* end of lemma zenon_L671_ *) % 1.01/1.20 assert (zenon_L672_ : ((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(hskp1)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H219 zenon_H1f8 zenon_H1f4 zenon_H198 zenon_H246 zenon_H216 zenon_H159 zenon_H157 zenon_H1d6 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H184 zenon_Ha8 zenon_H71 zenon_H50 zenon_H69 zenon_H6e zenon_H72 zenon_H47 zenon_H45 zenon_H26 zenon_H22 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H36 zenon_H3a zenon_Hbb zenon_Hde zenon_Hf3 zenon_Hf5 zenon_Hbd zenon_H7f zenon_Hf8 zenon_H138 zenon_H119 zenon_H1c3 zenon_H291 zenon_Hac zenon_Ha5 zenon_Ha3 zenon_H87 zenon_H107 zenon_Hca zenon_Hce zenon_Hf1 zenon_H9 zenon_Hed zenon_H234 zenon_H183 zenon_H1fa. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_L671_); trivial. % 1.01/1.20 apply (zenon_L662_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_L345_); trivial. % 1.01/1.20 apply (zenon_L662_); trivial. % 1.01/1.20 apply (zenon_L169_); trivial. % 1.01/1.20 (* end of lemma zenon_L672_ *) % 1.01/1.20 assert (zenon_L673_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H138 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H26 zenon_H50 zenon_H4e zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H1d6 zenon_H6e zenon_H72 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_Hbb zenon_Hdc zenon_Hde zenon_Hf3. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.20 apply (zenon_L210_); trivial. % 1.01/1.20 apply (zenon_L660_); trivial. % 1.01/1.20 (* end of lemma zenon_L673_ *) % 1.01/1.20 assert (zenon_L674_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> False). % 1.01/1.20 do 0 intro. intros zenon_Hc9 zenon_Hac zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H21f zenon_H21e zenon_Hbb zenon_H159 zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H10b zenon_H10a zenon_H109 zenon_H216. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.20 apply (zenon_L436_); trivial. % 1.01/1.20 apply (zenon_L496_); trivial. % 1.01/1.20 (* end of lemma zenon_L674_ *) % 1.01/1.20 assert (zenon_L675_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.20 do 0 intro. intros zenon_H119 zenon_Hce zenon_H216 zenon_H87 zenon_H85 zenon_H159 zenon_Hbb zenon_H21e zenon_H21f zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_Hac zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.20 apply (zenon_L83_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.20 apply (zenon_L40_); trivial. % 1.01/1.20 apply (zenon_L496_); trivial. % 1.01/1.20 apply (zenon_L674_); trivial. % 1.01/1.20 (* end of lemma zenon_L675_ *) % 1.01/1.20 assert (zenon_L676_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H195 zenon_H183 zenon_H184 zenon_H246 zenon_H22e zenon_H107 zenon_Hac zenon_H1c3 zenon_H157 zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H119 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H6e zenon_H1d6 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H4e zenon_H50 zenon_H26 zenon_H138 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H45 zenon_H47 zenon_H72. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.20 apply (zenon_L520_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.20 apply (zenon_L673_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.20 apply (zenon_L675_); trivial. % 1.01/1.20 apply (zenon_L397_); trivial. % 1.01/1.20 (* end of lemma zenon_L676_ *) % 1.01/1.20 assert (zenon_L677_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_Hf3 zenon_Hde zenon_Hdc zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H12 zenon_H26 zenon_H50 zenon_H4e zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_Hbb zenon_Hbd zenon_H6e zenon_H72. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.20 apply (zenon_L519_); trivial. % 1.01/1.20 apply (zenon_L477_); trivial. % 1.01/1.20 apply (zenon_L58_); trivial. % 1.01/1.20 (* end of lemma zenon_L677_ *) % 1.01/1.20 assert (zenon_L678_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.20 do 0 intro. intros zenon_H17b zenon_H119 zenon_H72 zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H107. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.20 apply (zenon_L83_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.20 apply (zenon_L519_); trivial. % 1.01/1.20 apply (zenon_L482_); trivial. % 1.01/1.20 (* end of lemma zenon_L678_ *) % 1.01/1.20 assert (zenon_L679_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H195 zenon_H184 zenon_H119 zenon_H1c3 zenon_H107 zenon_H72 zenon_H6e zenon_Hbd zenon_Hbb zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H4e zenon_H50 zenon_H26 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_Hde zenon_Hf3. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.20 apply (zenon_L677_); trivial. % 1.01/1.20 apply (zenon_L678_); trivial. % 1.01/1.20 (* end of lemma zenon_L679_ *) % 1.01/1.20 assert (zenon_L680_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H198 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H184 zenon_Ha8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H72 zenon_H6e zenon_Hbd zenon_Hbb zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H12 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H36 zenon_H3a zenon_Hde zenon_Hf3 zenon_H138 zenon_H119 zenon_H1c3 zenon_H193 zenon_H107 zenon_H167 zenon_H69 zenon_H246 zenon_H242 zenon_H1e7 zenon_Hf8 zenon_H178 zenon_H183. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_L485_); trivial. % 1.01/1.20 apply (zenon_L679_); trivial. % 1.01/1.20 (* end of lemma zenon_L680_ *) % 1.01/1.20 assert (zenon_L681_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_Hf8 zenon_H167 zenon_H85 zenon_H165 zenon_H7f zenon_Hf5 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_Hbb zenon_Hbd zenon_H6e zenon_H72 zenon_H69 zenon_H71. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.20 apply (zenon_L488_); trivial. % 1.01/1.20 apply (zenon_L427_); trivial. % 1.01/1.20 (* end of lemma zenon_L681_ *) % 1.01/1.20 assert (zenon_L682_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H1e7 zenon_H242 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_Hf3 zenon_Hde zenon_Hdc zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_Hbb zenon_Hbd zenon_H6e zenon_H72 zenon_H69 zenon_H71. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.20 apply (zenon_L488_); trivial. % 1.01/1.20 apply (zenon_L556_); trivial. % 1.01/1.20 (* end of lemma zenon_L682_ *) % 1.01/1.20 assert (zenon_L683_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (ndr1_0) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H184 zenon_H138 zenon_Ha8 zenon_H5 zenon_H242 zenon_H71 zenon_H69 zenon_H72 zenon_H6e zenon_Hbd zenon_Hbb zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H12 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H31 zenon_H36 zenon_H3a zenon_Hde zenon_Hf3 zenon_Hf5 zenon_H7f zenon_H167 zenon_Hf8 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1e7 zenon_H178. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.20 apply (zenon_L681_); trivial. % 1.01/1.20 apply (zenon_L489_); trivial. % 1.01/1.20 apply (zenon_L682_); trivial. % 1.01/1.20 apply (zenon_L126_); trivial. % 1.01/1.20 (* end of lemma zenon_L683_ *) % 1.01/1.20 assert (zenon_L684_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_H242 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_Hf8 zenon_H167 zenon_H7f zenon_Hf5 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H3a zenon_H36 zenon_H31 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_Hbb zenon_Hbd zenon_H6e zenon_H72 zenon_H69 zenon_H71 zenon_Hf9 zenon_H12c zenon_H12d zenon_H12e zenon_Ha3 zenon_Ha5 zenon_Hac zenon_H138. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.20 apply (zenon_L681_); trivial. % 1.01/1.20 apply (zenon_L90_); trivial. % 1.01/1.20 apply (zenon_L682_); trivial. % 1.01/1.20 (* end of lemma zenon_L684_ *) % 1.01/1.20 assert (zenon_L685_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c1_1 (a2287))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H1f0 zenon_H198 zenon_H184 zenon_H119 zenon_H1c3 zenon_H107 zenon_H72 zenon_H6e zenon_Hbd zenon_Hbb zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H4e zenon_H50 zenon_H26 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_Hde zenon_Hf3 zenon_H21c zenon_H1d9 zenon_H1da zenon_H234. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.20 apply (zenon_L345_); trivial. % 1.01/1.20 apply (zenon_L679_); trivial. % 1.01/1.20 (* end of lemma zenon_L685_ *) % 1.01/1.20 assert (zenon_L686_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> (~(c1_1 (a2287))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H1fa zenon_H21c zenon_H1d9 zenon_H1da zenon_H234 zenon_H183 zenon_H178 zenon_Hf8 zenon_H1e7 zenon_H242 zenon_H246 zenon_H69 zenon_H167 zenon_H107 zenon_H193 zenon_H1c3 zenon_H119 zenon_H138 zenon_Hf3 zenon_Hde zenon_H3a zenon_H36 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_Hbb zenon_Hbd zenon_H6e zenon_H72 zenon_Hf1 zenon_H9 zenon_Hed zenon_H71 zenon_Ha8 zenon_H184 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H198. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.01/1.20 apply (zenon_L680_); trivial. % 1.01/1.20 apply (zenon_L685_); trivial. % 1.01/1.20 (* end of lemma zenon_L686_ *) % 1.01/1.20 assert (zenon_L687_ : ((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp4))) -> (~(hskp4)) -> (~(hskp0)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H219 zenon_H1f8 zenon_H1f4 zenon_H45 zenon_Ha3 zenon_H198 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H184 zenon_Ha8 zenon_H71 zenon_Hed zenon_H9 zenon_Hf1 zenon_H72 zenon_H6e zenon_Hbd zenon_Hbb zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H50 zenon_H26 zenon_H22 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H36 zenon_H3a zenon_Hde zenon_Hf3 zenon_H138 zenon_H119 zenon_H1c3 zenon_H193 zenon_H107 zenon_H167 zenon_H69 zenon_H246 zenon_H242 zenon_H1e7 zenon_Hf8 zenon_H178 zenon_H183 zenon_H234 zenon_H1fa. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.01/1.20 apply (zenon_L686_); trivial. % 1.01/1.20 apply (zenon_L169_); trivial. % 1.01/1.20 (* end of lemma zenon_L687_ *) % 1.01/1.20 assert (zenon_L688_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H17b zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H107 zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H119. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.20 apply (zenon_L447_); trivial. % 1.01/1.20 apply (zenon_L561_); trivial. % 1.01/1.20 (* end of lemma zenon_L688_ *) % 1.01/1.20 assert (zenon_L689_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H17b zenon_H138 zenon_H72 zenon_H244 zenon_H239 zenon_H237 zenon_H238 zenon_H1d6 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H107 zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H119. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.20 apply (zenon_L447_); trivial. % 1.01/1.20 apply (zenon_L576_); trivial. % 1.01/1.20 (* end of lemma zenon_L689_ *) % 1.01/1.20 assert (zenon_L690_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H195 zenon_H184 zenon_H138 zenon_H72 zenon_H244 zenon_H1d6 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H107 zenon_Hac zenon_H1c3 zenon_H157 zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H119 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.20 apply (zenon_L498_); trivial. % 1.01/1.20 apply (zenon_L689_); trivial. % 1.01/1.20 (* end of lemma zenon_L690_ *) % 1.01/1.20 assert (zenon_L691_ : (forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66)))))) -> (ndr1_0) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> False). % 1.01/1.20 do 0 intro. intros zenon_H14d zenon_H12 zenon_H2be zenon_H2bf zenon_H2c0. % 1.01/1.20 generalize (zenon_H14d (a2277)). zenon_intro zenon_H2c1. % 1.01/1.20 apply (zenon_imply_s _ _ zenon_H2c1); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c2 ]. % 1.01/1.20 exact (zenon_H11 zenon_H12). % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H2c4 | zenon_intro zenon_H2c3 ]. % 1.01/1.20 exact (zenon_H2be zenon_H2c4). % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2c5 ]. % 1.01/1.20 exact (zenon_H2c6 zenon_H2bf). % 1.01/1.20 exact (zenon_H2c5 zenon_H2c0). % 1.01/1.20 (* end of lemma zenon_L691_ *) % 1.01/1.20 assert (zenon_L692_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2337)) -> (c0_1 (a2337)) -> (~(c1_1 (a2337))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> False). % 1.01/1.20 do 0 intro. intros zenon_Ha7 zenon_H157 zenon_H146 zenon_H145 zenon_H144 zenon_H2c0 zenon_H2bf zenon_H2be. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.01/1.20 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 1.01/1.20 apply (zenon_L93_); trivial. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 1.01/1.20 apply (zenon_L691_); trivial. % 1.01/1.20 apply (zenon_L42_); trivial. % 1.01/1.20 (* end of lemma zenon_L692_ *) % 1.01/1.20 assert (zenon_L693_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c3_1 (a2337)) -> (c0_1 (a2337)) -> (~(c1_1 (a2337))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 1.01/1.20 do 0 intro. intros zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H146 zenon_H145 zenon_H144 zenon_H83 zenon_H85 zenon_H87. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.20 apply (zenon_L40_); trivial. % 1.01/1.20 apply (zenon_L692_); trivial. % 1.01/1.20 (* end of lemma zenon_L693_ *) % 1.01/1.20 assert (zenon_L694_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp22)) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H15b zenon_Hce zenon_Hca zenon_Ha3 zenon_H105 zenon_H107 zenon_H87 zenon_H85 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H3 zenon_H5 zenon_H7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.20 apply (zenon_L4_); trivial. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.20 apply (zenon_L693_); trivial. % 1.01/1.20 apply (zenon_L73_); trivial. % 1.01/1.20 (* end of lemma zenon_L694_ *) % 1.01/1.20 assert (zenon_L695_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_Hf5 zenon_Ha5 zenon_H7 zenon_H5 zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H85 zenon_H87 zenon_H107 zenon_H105 zenon_Ha3 zenon_Hca zenon_Hce zenon_H15b. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.01/1.20 apply (zenon_L694_); trivial. % 1.01/1.20 apply (zenon_L99_); trivial. % 1.01/1.20 (* end of lemma zenon_L695_ *) % 1.01/1.20 assert (zenon_L696_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_H47 zenon_H45 zenon_H22e zenon_H21f zenon_H21e zenon_H21d zenon_H7 zenon_H5 zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H85 zenon_H87 zenon_H107 zenon_H105 zenon_Ha3 zenon_Hca zenon_Hce zenon_H15b. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.01/1.20 apply (zenon_L694_); trivial. % 1.01/1.20 apply (zenon_L220_); trivial. % 1.01/1.20 (* end of lemma zenon_L696_ *) % 1.01/1.20 assert (zenon_L697_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H119 zenon_H114 zenon_H112 zenon_H15b zenon_Hce zenon_Hca zenon_Ha3 zenon_H107 zenon_H87 zenon_H85 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H5 zenon_H7 zenon_H21d zenon_H21e zenon_H21f zenon_H22e zenon_H45 zenon_H47 zenon_H72 zenon_Hf5. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.20 apply (zenon_L696_); trivial. % 1.01/1.20 apply (zenon_L78_); trivial. % 1.01/1.20 (* end of lemma zenon_L697_ *) % 1.01/1.20 assert (zenon_L698_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H15c zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.20 apply (zenon_L89_); trivial. % 1.01/1.20 apply (zenon_L692_); trivial. % 1.01/1.20 (* end of lemma zenon_L698_ *) % 1.01/1.20 assert (zenon_L699_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp22)) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H15b zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9 zenon_H3 zenon_H5 zenon_H7. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.20 apply (zenon_L4_); trivial. % 1.01/1.20 apply (zenon_L698_); trivial. % 1.01/1.20 (* end of lemma zenon_L699_ *) % 1.01/1.20 assert (zenon_L700_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (~(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp13)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_Hf5 zenon_H72 zenon_H47 zenon_H45 zenon_H22e zenon_H21f zenon_H21e zenon_H21d zenon_H105 zenon_H107 zenon_H7 zenon_H5 zenon_Hf9 zenon_H4e zenon_H11c zenon_H11b zenon_H11a zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15b. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.01/1.20 apply (zenon_L699_); trivial. % 1.01/1.20 apply (zenon_L220_); trivial. % 1.01/1.20 (* end of lemma zenon_L700_ *) % 1.01/1.20 assert (zenon_L701_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H138 zenon_Hac zenon_Ha5 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_Hf9 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_H165 zenon_H167 zenon_Hf3. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.20 apply (zenon_L395_); trivial. % 1.01/1.20 apply (zenon_L90_); trivial. % 1.01/1.20 (* end of lemma zenon_L701_ *) % 1.01/1.20 assert (zenon_L702_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (~(hskp2)) -> (~(hskp4)) -> False). % 1.01/1.20 do 0 intro. intros zenon_H49 zenon_H1d6 zenon_H11c zenon_H11b zenon_H11a zenon_H1a5 zenon_H16c zenon_H16b zenon_H16a zenon_H1a3 zenon_H45. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.01/1.20 apply (zenon_L80_); trivial. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.01/1.20 apply (zenon_L20_); trivial. % 1.01/1.20 apply (zenon_L189_); trivial. % 1.01/1.20 (* end of lemma zenon_L702_ *) % 1.01/1.20 assert (zenon_L703_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp2)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H135 zenon_H72 zenon_H1d6 zenon_H16a zenon_H16b zenon_H16c zenon_H1a3 zenon_H45 zenon_H1a5 zenon_H12c zenon_H12d zenon_H12e zenon_H21d zenon_H21e zenon_H21f zenon_H22e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.20 apply (zenon_L393_); trivial. % 1.01/1.20 apply (zenon_L702_); trivial. % 1.01/1.20 (* end of lemma zenon_L703_ *) % 1.01/1.20 assert (zenon_L704_ : (forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (ndr1_0) -> (~(c2_1 (a2277))) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))) -> (c0_1 (a2277)) -> False). % 1.01/1.20 do 0 intro. intros zenon_H1e9 zenon_H12 zenon_H2be zenon_H27 zenon_H2bf. % 1.01/1.20 generalize (zenon_H1e9 (a2277)). zenon_intro zenon_H2c7. % 1.01/1.20 apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c8 ]. % 1.01/1.20 exact (zenon_H11 zenon_H12). % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2c4 | zenon_intro zenon_H2c9 ]. % 1.01/1.20 exact (zenon_H2be zenon_H2c4). % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2c6 ]. % 1.01/1.20 generalize (zenon_H27 (a2277)). zenon_intro zenon_H2cb. % 1.01/1.20 apply (zenon_imply_s _ _ zenon_H2cb); [ zenon_intro zenon_H11 | zenon_intro zenon_H2cc ]. % 1.01/1.20 exact (zenon_H11 zenon_H12). % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2c4 | zenon_intro zenon_H2cd ]. % 1.01/1.20 exact (zenon_H2be zenon_H2c4). % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2ce ]. % 1.01/1.20 exact (zenon_H2c6 zenon_H2bf). % 1.01/1.20 exact (zenon_H2ce zenon_H2ca). % 1.01/1.20 exact (zenon_H2c6 zenon_H2bf). % 1.01/1.20 (* end of lemma zenon_L704_ *) % 1.01/1.20 assert (zenon_L705_ : ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.01/1.20 do 0 intro. intros zenon_H2cf zenon_H27 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H12 zenon_Hdc. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H2d0 ]. % 1.01/1.20 apply (zenon_L704_); trivial. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H14d | zenon_intro zenon_Hdd ]. % 1.01/1.20 apply (zenon_L691_); trivial. % 1.01/1.20 exact (zenon_Hdc zenon_Hdd). % 1.01/1.20 (* end of lemma zenon_L705_ *) % 1.01/1.20 assert (zenon_L706_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H21 zenon_H107 zenon_H105 zenon_H74 zenon_H75 zenon_H76 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H8b | zenon_intro zenon_H106 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 1.01/1.20 apply (zenon_L34_); trivial. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 1.01/1.20 apply (zenon_L705_); trivial. % 1.01/1.20 apply (zenon_L308_); trivial. % 1.01/1.20 exact (zenon_H105 zenon_H106). % 1.01/1.20 (* end of lemma zenon_L706_ *) % 1.01/1.20 assert (zenon_L707_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H26 zenon_H107 zenon_H105 zenon_H74 zenon_H75 zenon_H76 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.01/1.20 apply (zenon_L8_); trivial. % 1.01/1.20 apply (zenon_L706_); trivial. % 1.01/1.20 (* end of lemma zenon_L707_ *) % 1.01/1.20 assert (zenon_L708_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H15c zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.20 apply (zenon_L693_); trivial. % 1.01/1.20 apply (zenon_L103_); trivial. % 1.01/1.20 (* end of lemma zenon_L708_ *) % 1.01/1.20 assert (zenon_L709_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 1.01/1.20 do 0 intro. intros zenon_H116 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H85 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.20 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.20 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.20 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.20 apply (zenon_L101_); trivial. % 1.01/1.20 apply (zenon_L708_); trivial. % 1.01/1.20 apply (zenon_L106_); trivial. % 1.01/1.20 (* end of lemma zenon_L709_ *) % 1.01/1.20 assert (zenon_L710_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_Hf4 zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H157 zenon_H85 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H107 zenon_H26. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.21 apply (zenon_L707_); trivial. % 1.01/1.21 apply (zenon_L709_); trivial. % 1.01/1.21 (* end of lemma zenon_L710_ *) % 1.01/1.21 assert (zenon_L711_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a2323))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (ndr1_0) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> (c3_1 (a2278)) -> False). % 1.01/1.21 do 0 intro. intros zenon_H157 zenon_H10b zenon_H10a zenon_Had zenon_H109 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H12 zenon_H9a zenon_H9b zenon_H9c. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 1.01/1.21 apply (zenon_L139_); trivial. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 1.01/1.21 apply (zenon_L691_); trivial. % 1.01/1.21 apply (zenon_L42_); trivial. % 1.01/1.21 (* end of lemma zenon_L711_ *) % 1.01/1.21 assert (zenon_L712_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c2_1 (a2342))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (ndr1_0) -> (c0_1 (a2278)) -> (c1_1 (a2278)) -> (c3_1 (a2278)) -> False). % 1.01/1.21 do 0 intro. intros zenon_H157 zenon_H29 zenon_H2a zenon_H28 zenon_Hb1 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H12 zenon_H9a zenon_H9b zenon_H9c. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 1.01/1.21 apply (zenon_L142_); trivial. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 1.01/1.21 apply (zenon_L691_); trivial. % 1.01/1.21 apply (zenon_L42_); trivial. % 1.01/1.21 (* end of lemma zenon_L712_ *) % 1.01/1.21 assert (zenon_L713_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c2_1 (a2342))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> False). % 1.01/1.21 do 0 intro. intros zenon_Ha7 zenon_H1c3 zenon_H10b zenon_H10a zenon_H109 zenon_H157 zenon_H29 zenon_H2a zenon_H28 zenon_H2c0 zenon_H2bf zenon_H2be. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.01/1.21 apply (zenon_L711_); trivial. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.01/1.21 apply (zenon_L75_); trivial. % 1.01/1.21 apply (zenon_L712_); trivial. % 1.01/1.21 (* end of lemma zenon_L713_ *) % 1.01/1.21 assert (zenon_L714_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H35 zenon_Hac zenon_H1c3 zenon_H109 zenon_H10a zenon_H10b zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.21 apply (zenon_L89_); trivial. % 1.01/1.21 apply (zenon_L713_); trivial. % 1.01/1.21 (* end of lemma zenon_L714_ *) % 1.01/1.21 assert (zenon_L715_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H3a zenon_Hac zenon_H1c3 zenon_H109 zenon_H10a zenon_H10b zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H9 zenon_H1f zenon_H22 zenon_H26. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.21 apply (zenon_L14_); trivial. % 1.01/1.21 apply (zenon_L714_); trivial. % 1.01/1.21 (* end of lemma zenon_L715_ *) % 1.01/1.21 assert (zenon_L716_ : ((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (c1_1 (a2324)) -> (~(c3_1 (a2324))) -> (~(c0_1 (a2324))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp11)) -> False). % 1.01/1.21 do 0 intro. intros zenon_H1d2 zenon_H2d1 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H2be zenon_H2bf zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_Hb. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H12. zenon_intro zenon_H1d3. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c9. zenon_intro zenon_H1d4. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1ca. zenon_intro zenon_H1cb. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H2d2 ]. % 1.01/1.21 apply (zenon_L55_); trivial. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1e9 | zenon_intro zenon_Hc ]. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 1.01/1.21 apply (zenon_L34_); trivial. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 1.01/1.21 apply (zenon_L704_); trivial. % 1.01/1.21 apply (zenon_L149_); trivial. % 1.01/1.21 exact (zenon_Hb zenon_Hc). % 1.01/1.21 (* end of lemma zenon_L716_ *) % 1.01/1.21 assert (zenon_L717_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c1_1 (a2324)) -> (~(c3_1 (a2324))) -> (~(c0_1 (a2324))) -> (~(hskp27)) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H1d5 zenon_H2d1 zenon_Hb zenon_H74 zenon_H75 zenon_H76 zenon_H2be zenon_H2bf zenon_H242 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H4c zenon_H112 zenon_H1c7. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1d2 ]. % 1.01/1.21 apply (zenon_L148_); trivial. % 1.01/1.21 apply (zenon_L716_); trivial. % 1.01/1.21 (* end of lemma zenon_L717_ *) % 1.01/1.21 assert (zenon_L718_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a2324))) -> (~(c3_1 (a2324))) -> (c1_1 (a2324)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H49 zenon_H6e zenon_H1d6 zenon_H11c zenon_H11b zenon_H11a zenon_H1c7 zenon_H112 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H242 zenon_H2bf zenon_H2be zenon_H76 zenon_H75 zenon_H74 zenon_Hb zenon_H2d1 zenon_H1d5. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.01/1.21 apply (zenon_L717_); trivial. % 1.01/1.21 apply (zenon_L152_); trivial. % 1.01/1.21 (* end of lemma zenon_L718_ *) % 1.01/1.21 assert (zenon_L719_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H116 zenon_Hf3 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H2d1 zenon_H1d5 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H1c3 zenon_H3a zenon_H15f zenon_Hf9 zenon_H4e zenon_H11c zenon_H11b zenon_H11a zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15b. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.21 apply (zenon_L101_); trivial. % 1.01/1.21 apply (zenon_L698_); trivial. % 1.01/1.21 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H12. zenon_intro zenon_He1. % 1.01/1.21 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd5. zenon_intro zenon_He2. % 1.01/1.21 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.21 apply (zenon_L715_); trivial. % 1.01/1.21 apply (zenon_L718_); trivial. % 1.01/1.21 (* end of lemma zenon_L719_ *) % 1.01/1.21 assert (zenon_L720_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H2d1 zenon_H1d5 zenon_H22 zenon_H1c3 zenon_H3a zenon_H15f zenon_Hf9 zenon_H4e zenon_H157 zenon_Hac zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.21 apply (zenon_L229_); trivial. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.21 apply (zenon_L707_); trivial. % 1.01/1.21 apply (zenon_L719_); trivial. % 1.01/1.21 (* end of lemma zenon_L720_ *) % 1.01/1.21 assert (zenon_L721_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H2d1 zenon_H1d5 zenon_H22 zenon_H1c3 zenon_H3a zenon_Hf9 zenon_H4e zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119 zenon_Hf8. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.21 apply (zenon_L229_); trivial. % 1.01/1.21 apply (zenon_L710_); trivial. % 1.01/1.21 apply (zenon_L720_); trivial. % 1.01/1.21 (* end of lemma zenon_L721_ *) % 1.01/1.21 assert (zenon_L722_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (~(hskp21)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H15c zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_Hed zenon_H85 zenon_H7d zenon_H5f zenon_H5d zenon_H5e zenon_H4e zenon_Hf9. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.21 apply (zenon_L67_); trivial. % 1.01/1.21 apply (zenon_L692_); trivial. % 1.01/1.21 (* end of lemma zenon_L722_ *) % 1.01/1.21 assert (zenon_L723_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H15b zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_Hed zenon_H85 zenon_H5f zenon_H5d zenon_H5e zenon_H4e zenon_Hf9 zenon_H12 zenon_H109 zenon_H10a zenon_H10b zenon_H7d zenon_H15f. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.21 apply (zenon_L101_); trivial. % 1.01/1.21 apply (zenon_L722_); trivial. % 1.01/1.21 (* end of lemma zenon_L723_ *) % 1.01/1.21 assert (zenon_L724_ : ((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c1_1 (a2324)) -> (~(c3_1 (a2324))) -> (~(c0_1 (a2324))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H68 zenon_H1d5 zenon_H2d1 zenon_Hb zenon_H74 zenon_H75 zenon_H76 zenon_H2be zenon_H2bf zenon_H242 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H179 zenon_H266. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1d2 ]. % 1.01/1.21 apply (zenon_L262_); trivial. % 1.01/1.21 apply (zenon_L716_); trivial. % 1.01/1.21 (* end of lemma zenon_L724_ *) % 1.01/1.21 assert (zenon_L725_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H116 zenon_Hf3 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_Hb zenon_H2d1 zenon_H1d5 zenon_H15f zenon_Hf9 zenon_H4e zenon_H5e zenon_H5d zenon_H5f zenon_H85 zenon_Hed zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15b. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.21 apply (zenon_L723_); trivial. % 1.01/1.21 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H12. zenon_intro zenon_He1. % 1.01/1.21 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd5. zenon_intro zenon_He2. % 1.01/1.21 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.01/1.21 apply (zenon_L717_); trivial. % 1.01/1.21 apply (zenon_L724_); trivial. % 1.01/1.21 (* end of lemma zenon_L725_ *) % 1.01/1.21 assert (zenon_L726_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H6d zenon_H119 zenon_Hf3 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H2d1 zenon_H1d5 zenon_H15f zenon_Hf9 zenon_H4e zenon_H85 zenon_Hed zenon_H157 zenon_Hac zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H76 zenon_H75 zenon_H74 zenon_H107 zenon_H26. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.21 apply (zenon_L707_); trivial. % 1.01/1.21 apply (zenon_L725_); trivial. % 1.01/1.21 (* end of lemma zenon_L726_ *) % 1.01/1.21 assert (zenon_L727_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> False). % 1.01/1.21 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_H119 zenon_Hf3 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H2d1 zenon_H1d5 zenon_H15f zenon_Hf9 zenon_H4e zenon_H85 zenon_Hed zenon_H157 zenon_Hac zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H107 zenon_H26 zenon_H16a zenon_H16b zenon_H16c zenon_H161 zenon_H173. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.21 apply (zenon_L111_); trivial. % 1.01/1.21 apply (zenon_L726_); trivial. % 1.01/1.21 (* end of lemma zenon_L727_ *) % 1.01/1.21 assert (zenon_L728_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H178 zenon_H173 zenon_Hed zenon_H266 zenon_H179 zenon_H71 zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H4e zenon_Hf9 zenon_H3a zenon_H1c3 zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.21 apply (zenon_L721_); trivial. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.21 apply (zenon_L229_); trivial. % 1.01/1.21 apply (zenon_L727_); trivial. % 1.01/1.21 apply (zenon_L720_); trivial. % 1.01/1.21 (* end of lemma zenon_L728_ *) % 1.01/1.21 assert (zenon_L729_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.21 do 0 intro. intros zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H85 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.21 apply (zenon_L83_); trivial. % 1.01/1.21 apply (zenon_L709_); trivial. % 1.01/1.21 (* end of lemma zenon_L729_ *) % 1.01/1.21 assert (zenon_L730_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.21 do 0 intro. intros zenon_H135 zenon_H119 zenon_H72 zenon_H6e zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H50 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_Hf9 zenon_H4e zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.21 apply (zenon_L83_); trivial. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.21 apply (zenon_L715_); trivial. % 1.01/1.21 apply (zenon_L560_); trivial. % 1.01/1.21 (* end of lemma zenon_L730_ *) % 1.01/1.21 assert (zenon_L731_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H50 zenon_H26 zenon_H22 zenon_Hb zenon_Hf zenon_Hf9 zenon_H4e zenon_H1c3 zenon_H3a zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.21 apply (zenon_L729_); trivial. % 1.01/1.21 apply (zenon_L730_); trivial. % 1.01/1.21 (* end of lemma zenon_L731_ *) % 1.01/1.21 assert (zenon_L732_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.21 do 0 intro. intros zenon_H6d zenon_H119 zenon_Hf3 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_Hb zenon_H2d1 zenon_H1d5 zenon_H15f zenon_Hf9 zenon_H4e zenon_H85 zenon_Hed zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15b zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.21 apply (zenon_L83_); trivial. % 1.01/1.21 apply (zenon_L725_); trivial. % 1.01/1.21 (* end of lemma zenon_L732_ *) % 1.01/1.21 assert (zenon_L733_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H3a zenon_Hac zenon_H1c3 zenon_H109 zenon_H10a zenon_H10b zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H1f zenon_H22 zenon_H26. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.21 apply (zenon_L261_); trivial. % 1.01/1.21 apply (zenon_L714_); trivial. % 1.01/1.21 (* end of lemma zenon_L733_ *) % 1.01/1.21 assert (zenon_L734_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.21 do 0 intro. intros zenon_H135 zenon_H119 zenon_H72 zenon_H6e zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H50 zenon_H26 zenon_H22 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_Hf9 zenon_H4e zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.21 apply (zenon_L83_); trivial. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.21 apply (zenon_L733_); trivial. % 1.01/1.21 apply (zenon_L560_); trivial. % 1.01/1.21 (* end of lemma zenon_L734_ *) % 1.01/1.21 assert (zenon_L735_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H17b zenon_H178 zenon_H12c zenon_H12d zenon_H12e zenon_H71 zenon_H112 zenon_H1e5 zenon_H69 zenon_H173 zenon_Hed zenon_H1d5 zenon_H2d1 zenon_H242 zenon_H1c7 zenon_H266 zenon_H179 zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H107 zenon_H3a zenon_H1c3 zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H22 zenon_H26 zenon_H50 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.21 apply (zenon_L731_); trivial. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.21 apply (zenon_L260_); trivial. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.21 apply (zenon_L111_); trivial. % 1.01/1.21 apply (zenon_L732_); trivial. % 1.01/1.21 apply (zenon_L734_); trivial. % 1.01/1.21 (* end of lemma zenon_L735_ *) % 1.01/1.21 assert (zenon_L736_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H180 zenon_H184 zenon_H1e5 zenon_H69 zenon_H50 zenon_H246 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H2d1 zenon_H1d5 zenon_H22 zenon_H1c3 zenon_H3a zenon_Hf9 zenon_H4e zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_Hf8 zenon_H71 zenon_H179 zenon_H266 zenon_Hed zenon_H173 zenon_H178. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.21 apply (zenon_L728_); trivial. % 1.01/1.21 apply (zenon_L735_); trivial. % 1.01/1.21 (* end of lemma zenon_L736_ *) % 1.01/1.21 assert (zenon_L737_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp14)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> False). % 1.01/1.21 do 0 intro. intros zenon_Ha7 zenon_H157 zenon_Hdc zenon_H186 zenon_H185 zenon_H187 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H2d0 ]. % 1.01/1.21 apply (zenon_L163_); trivial. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H14d | zenon_intro zenon_Hdd ]. % 1.01/1.21 apply (zenon_L691_); trivial. % 1.01/1.21 exact (zenon_Hdc zenon_Hdd). % 1.01/1.21 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 1.01/1.21 apply (zenon_L691_); trivial. % 1.01/1.21 apply (zenon_L42_); trivial. % 1.01/1.21 (* end of lemma zenon_L737_ *) % 1.01/1.21 assert (zenon_L738_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 1.01/1.21 do 0 intro. intros zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H83 zenon_H85 zenon_H87. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.21 apply (zenon_L40_); trivial. % 1.01/1.21 apply (zenon_L737_); trivial. % 1.01/1.21 (* end of lemma zenon_L738_ *) % 1.01/1.21 assert (zenon_L739_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp19)) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> False). % 1.01/1.21 do 0 intro. intros zenon_Hc9 zenon_H26 zenon_H107 zenon_H105 zenon_H74 zenon_H75 zenon_H76 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H193 zenon_H33 zenon_H1a3 zenon_H112 zenon_H1b0. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.01/1.21 apply (zenon_L298_); trivial. % 1.01/1.21 apply (zenon_L706_); trivial. % 1.01/1.21 (* end of lemma zenon_L739_ *) % 1.01/1.21 assert (zenon_L740_ : ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp19)) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_Hce zenon_H26 zenon_H107 zenon_H105 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H193 zenon_H33 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H85 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.21 apply (zenon_L738_); trivial. % 1.01/1.21 apply (zenon_L739_); trivial. % 1.01/1.21 (* end of lemma zenon_L740_ *) % 1.01/1.21 assert (zenon_L741_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H6d zenon_Hf3 zenon_H167 zenon_H165 zenon_Hf9 zenon_H4e zenon_H85 zenon_Hed zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.21 apply (zenon_L67_); trivial. % 1.01/1.21 apply (zenon_L737_); trivial. % 1.01/1.21 apply (zenon_L106_); trivial. % 1.01/1.21 (* end of lemma zenon_L741_ *) % 1.01/1.21 assert (zenon_L742_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H85 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H15b zenon_H163 zenon_H161 zenon_H9 zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.21 apply (zenon_L740_); trivial. % 1.01/1.21 apply (zenon_L709_); trivial. % 1.01/1.21 apply (zenon_L741_); trivial. % 1.01/1.21 (* end of lemma zenon_L742_ *) % 1.01/1.21 assert (zenon_L743_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H135 zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H4e zenon_Hf9. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.21 apply (zenon_L89_); trivial. % 1.01/1.21 apply (zenon_L737_); trivial. % 1.01/1.21 (* end of lemma zenon_L743_ *) % 1.01/1.21 assert (zenon_L744_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H138 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_H9 zenon_H161 zenon_H163 zenon_H15b zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H71 zenon_Hf8. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.21 apply (zenon_L229_); trivial. % 1.01/1.21 apply (zenon_L742_); trivial. % 1.01/1.21 apply (zenon_L743_); trivial. % 1.01/1.21 (* end of lemma zenon_L744_ *) % 1.01/1.21 assert (zenon_L745_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp25)) -> (~(hskp24)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> False). % 1.01/1.21 do 0 intro. intros zenon_Ha7 zenon_H157 zenon_H1d zenon_H1 zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H2c0 zenon_H2bf zenon_H2be. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H2bd ]. % 1.01/1.21 apply (zenon_L163_); trivial. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2 | zenon_intro zenon_H1e ]. % 1.01/1.21 exact (zenon_H1 zenon_H2). % 1.01/1.21 exact (zenon_H1d zenon_H1e). % 1.01/1.21 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 1.01/1.21 apply (zenon_L691_); trivial. % 1.01/1.21 apply (zenon_L42_); trivial. % 1.01/1.21 (* end of lemma zenon_L745_ *) % 1.01/1.21 assert (zenon_L746_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 1.01/1.21 do 0 intro. intros zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H1 zenon_H1d zenon_H2bc zenon_H83 zenon_H85 zenon_H87. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.21 apply (zenon_L40_); trivial. % 1.01/1.21 apply (zenon_L745_); trivial. % 1.01/1.21 (* end of lemma zenon_L746_ *) % 1.01/1.21 assert (zenon_L747_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp8)) -> (~(hskp7)) -> False). % 1.01/1.21 do 0 intro. intros zenon_Hc9 zenon_H2d3 zenon_H179 zenon_H161. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_Hbf | zenon_intro zenon_H2d4 ]. % 1.01/1.21 apply (zenon_L51_); trivial. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H17a | zenon_intro zenon_H162 ]. % 1.01/1.21 exact (zenon_H179 zenon_H17a). % 1.01/1.21 exact (zenon_H161 zenon_H162). % 1.01/1.21 (* end of lemma zenon_L747_ *) % 1.01/1.21 assert (zenon_L748_ : ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(hskp25)) -> (~(hskp24)) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_Hce zenon_H2d3 zenon_H161 zenon_H179 zenon_H87 zenon_H85 zenon_H2bc zenon_H1d zenon_H1 zenon_H187 zenon_H185 zenon_H186 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.21 apply (zenon_L746_); trivial. % 1.01/1.21 apply (zenon_L747_); trivial. % 1.01/1.21 (* end of lemma zenon_L748_ *) % 1.01/1.21 assert (zenon_L749_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H3a zenon_H1d5 zenon_H242 zenon_H16c zenon_H16b zenon_H76 zenon_H75 zenon_H74 zenon_H266 zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H1 zenon_H2bc zenon_H85 zenon_H87 zenon_H179 zenon_H161 zenon_H2d3 zenon_Hce. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.21 apply (zenon_L748_); trivial. % 1.01/1.21 apply (zenon_L292_); trivial. % 1.01/1.21 (* end of lemma zenon_L749_ *) % 1.01/1.21 assert (zenon_L750_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H15c zenon_Hce zenon_H2d3 zenon_H161 zenon_H179 zenon_H87 zenon_H85 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.21 apply (zenon_L693_); trivial. % 1.01/1.21 apply (zenon_L747_); trivial. % 1.01/1.21 (* end of lemma zenon_L750_ *) % 1.01/1.21 assert (zenon_L751_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_Hf4 zenon_H15b zenon_Hce zenon_H2d3 zenon_H161 zenon_H179 zenon_H87 zenon_H85 zenon_H2bc zenon_H187 zenon_H185 zenon_H186 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H266 zenon_H16b zenon_H16c zenon_H242 zenon_H1d5 zenon_H3a. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.21 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.21 apply (zenon_L749_); trivial. % 1.01/1.21 apply (zenon_L750_); trivial. % 1.01/1.21 (* end of lemma zenon_L751_ *) % 1.01/1.21 assert (zenon_L752_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.21 do 0 intro. intros zenon_H178 zenon_H3a zenon_H1d5 zenon_H266 zenon_H2bc zenon_H179 zenon_H2d3 zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H15b zenon_H163 zenon_H161 zenon_H9 zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.21 apply (zenon_L744_); trivial. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.21 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.21 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.21 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.21 apply (zenon_L229_); trivial. % 1.01/1.21 apply (zenon_L751_); trivial. % 1.01/1.21 apply (zenon_L743_); trivial. % 1.01/1.21 (* end of lemma zenon_L752_ *) % 1.01/1.21 assert (zenon_L753_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2342))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 1.01/1.22 do 0 intro. intros zenon_Hac zenon_H1c3 zenon_H28 zenon_H2a zenon_H29 zenon_H109 zenon_H10a zenon_H10b zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H83 zenon_H85 zenon_H87. % 1.01/1.22 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.22 apply (zenon_L40_); trivial. % 1.01/1.22 apply (zenon_L713_); trivial. % 1.01/1.22 (* end of lemma zenon_L753_ *) % 1.01/1.22 assert (zenon_L754_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H35 zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H10b zenon_H10a zenon_H109 zenon_H1c3 zenon_Hac. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.01/1.22 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.22 apply (zenon_L753_); trivial. % 1.01/1.22 apply (zenon_L103_); trivial. % 1.01/1.22 (* end of lemma zenon_L754_ *) % 1.01/1.22 assert (zenon_L755_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H116 zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H2bc zenon_H187 zenon_H185 zenon_H186 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H1c3 zenon_H3a. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.22 apply (zenon_L746_); trivial. % 1.01/1.22 apply (zenon_L103_); trivial. % 1.01/1.22 apply (zenon_L754_); trivial. % 1.01/1.22 apply (zenon_L708_); trivial. % 1.01/1.22 (* end of lemma zenon_L755_ *) % 1.01/1.22 assert (zenon_L756_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.22 do 0 intro. intros zenon_H119 zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H2bc zenon_H187 zenon_H185 zenon_H186 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H1c3 zenon_H3a zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.22 apply (zenon_L83_); trivial. % 1.01/1.22 apply (zenon_L755_); trivial. % 1.01/1.22 (* end of lemma zenon_L756_ *) % 1.01/1.22 assert (zenon_L757_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H17b zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H50 zenon_H26 zenon_H22 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_Hf9 zenon_H4e zenon_H107 zenon_H3a zenon_H1c3 zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H119. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.22 apply (zenon_L756_); trivial. % 1.01/1.22 apply (zenon_L734_); trivial. % 1.01/1.22 (* end of lemma zenon_L757_ *) % 1.01/1.22 assert (zenon_L758_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H180 zenon_H184 zenon_H72 zenon_H6e zenon_H1d6 zenon_H50 zenon_H22 zenon_H246 zenon_H1c3 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_H9 zenon_H161 zenon_H163 zenon_H15b zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H71 zenon_Hf8 zenon_H2d3 zenon_H179 zenon_H2bc zenon_H266 zenon_H1d5 zenon_H3a zenon_H178. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.22 apply (zenon_L752_); trivial. % 1.01/1.22 apply (zenon_L757_); trivial. % 1.01/1.22 (* end of lemma zenon_L758_ *) % 1.01/1.22 assert (zenon_L759_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp14)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 1.01/1.22 do 0 intro. intros zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_Hdc zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H12 zenon_H52 zenon_H16b zenon_H16c. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 1.01/1.22 apply (zenon_L34_); trivial. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 1.01/1.22 apply (zenon_L705_); trivial. % 1.01/1.22 apply (zenon_L290_); trivial. % 1.01/1.22 (* end of lemma zenon_L759_ *) % 1.01/1.22 assert (zenon_L760_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(hskp14)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(c3_1 (a2316))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 1.01/1.22 do 0 intro. intros zenon_H1e7 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_Hdc zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H112 zenon_H1d9 zenon_H1da zenon_H5e zenon_He3 zenon_H5d zenon_H5f zenon_H1e5 zenon_H12 zenon_H16a zenon_H16b zenon_H16c. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 1.01/1.22 apply (zenon_L759_); trivial. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 1.01/1.22 apply (zenon_L157_); trivial. % 1.01/1.22 apply (zenon_L110_); trivial. % 1.01/1.22 (* end of lemma zenon_L760_ *) % 1.01/1.22 assert (zenon_L761_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2303))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp14)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 1.01/1.22 do 0 intro. intros zenon_H49 zenon_H1d6 zenon_H16a zenon_H1e5 zenon_H5f zenon_H5d zenon_H5e zenon_H1da zenon_H1d9 zenon_H112 zenon_H1e7 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_Hdc zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H16b zenon_H16c. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.01/1.22 apply (zenon_L760_); trivial. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.01/1.22 apply (zenon_L20_); trivial. % 1.01/1.22 apply (zenon_L759_); trivial. % 1.01/1.22 (* end of lemma zenon_L761_ *) % 1.01/1.22 assert (zenon_L762_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H6d zenon_H72 zenon_H1d6 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H1e7 zenon_H16a zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H74 zenon_H75 zenon_H76 zenon_H16b zenon_H16c zenon_H242 zenon_Hef zenon_Hf1 zenon_H3a. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.22 apply (zenon_L14_); trivial. % 1.01/1.22 apply (zenon_L332_); trivial. % 1.01/1.22 apply (zenon_L761_); trivial. % 1.01/1.22 (* end of lemma zenon_L762_ *) % 1.01/1.22 assert (zenon_L763_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> False). % 1.01/1.22 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_H72 zenon_H1d6 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H242 zenon_Hef zenon_Hf1 zenon_H3a zenon_H16a zenon_H16b zenon_H16c zenon_H161 zenon_H173. % 1.01/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.22 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.22 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.22 apply (zenon_L111_); trivial. % 1.01/1.22 apply (zenon_L762_); trivial. % 1.01/1.22 (* end of lemma zenon_L763_ *) % 1.01/1.22 assert (zenon_L764_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H178 zenon_H71 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_Hef zenon_Hf1 zenon_H173 zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H4e zenon_Hf9 zenon_H3a zenon_H1c3 zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.22 apply (zenon_L721_); trivial. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.22 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.22 apply (zenon_L229_); trivial. % 1.01/1.22 apply (zenon_L763_); trivial. % 1.01/1.22 (* end of lemma zenon_L764_ *) % 1.01/1.22 assert (zenon_L765_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H17b zenon_H178 zenon_Hf8 zenon_H12c zenon_H12d zenon_H12e zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H242 zenon_Hef zenon_Hf1 zenon_H173 zenon_H69 zenon_H1e5 zenon_H112 zenon_H71 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H107 zenon_H3a zenon_H1c3 zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H22 zenon_H26 zenon_H50 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.22 apply (zenon_L731_); trivial. % 1.01/1.22 apply (zenon_L336_); trivial. % 1.01/1.22 (* end of lemma zenon_L765_ *) % 1.01/1.22 assert (zenon_L766_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H180 zenon_H184 zenon_H69 zenon_H50 zenon_H246 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H2d1 zenon_H1d5 zenon_H22 zenon_H1c3 zenon_H3a zenon_Hf9 zenon_H4e zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_Hf8 zenon_H173 zenon_Hf1 zenon_Hef zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H71 zenon_H178. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.22 apply (zenon_L764_); trivial. % 1.01/1.22 apply (zenon_L765_); trivial. % 1.01/1.22 (* end of lemma zenon_L766_ *) % 1.01/1.22 assert (zenon_L767_ : ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (c0_1 (a2277)) -> (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49)))))) -> (~(c2_1 (a2277))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.01/1.22 do 0 intro. intros zenon_H1ee zenon_H13c zenon_H13b zenon_H13a zenon_H2bf zenon_H27 zenon_H2be zenon_H12 zenon_H1f. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H139 | zenon_intro zenon_H1ef ]. % 1.01/1.22 apply (zenon_L92_); trivial. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H20 ]. % 1.01/1.22 apply (zenon_L704_); trivial. % 1.01/1.22 exact (zenon_H1f zenon_H20). % 1.01/1.22 (* end of lemma zenon_L767_ *) % 1.01/1.22 assert (zenon_L768_ : ((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp23)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H1d2 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H1f zenon_H2be zenon_H2bf zenon_H13a zenon_H13b zenon_H13c zenon_H1ee. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H1d2). zenon_intro zenon_H12. zenon_intro zenon_H1d3. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_H1c9. zenon_intro zenon_H1d4. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_H1ca. zenon_intro zenon_H1cb. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 1.01/1.22 apply (zenon_L34_); trivial. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 1.01/1.22 apply (zenon_L767_); trivial. % 1.01/1.22 apply (zenon_L149_); trivial. % 1.01/1.22 (* end of lemma zenon_L768_ *) % 1.01/1.22 assert (zenon_L769_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp23)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H6e zenon_Hf1 zenon_Hef zenon_H9 zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H5f zenon_H5d zenon_H5e zenon_H16a zenon_H16b zenon_H16c zenon_H1e7 zenon_H1c7 zenon_H112 zenon_H74 zenon_H75 zenon_H76 zenon_H1ee zenon_H1f zenon_H2bf zenon_H2be zenon_H13c zenon_H13b zenon_H13a zenon_H242 zenon_H1d5. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1d2 ]. % 1.01/1.22 apply (zenon_L148_); trivial. % 1.01/1.22 apply (zenon_L768_); trivial. % 1.01/1.22 apply (zenon_L159_); trivial. % 1.01/1.22 (* end of lemma zenon_L769_ *) % 1.01/1.22 assert (zenon_L770_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H6d zenon_H72 zenon_H1d6 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H4e zenon_H50 zenon_H26 zenon_H1d5 zenon_H242 zenon_H13a zenon_H13b zenon_H13c zenon_H2be zenon_H2bf zenon_H1ee zenon_H76 zenon_H75 zenon_H74 zenon_H112 zenon_H1c7 zenon_H1e7 zenon_H16c zenon_H16b zenon_H16a zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H9 zenon_Hef zenon_Hf1 zenon_H6e. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.01/1.22 apply (zenon_L769_); trivial. % 1.01/1.22 apply (zenon_L334_); trivial. % 1.01/1.22 (* end of lemma zenon_L770_ *) % 1.01/1.22 assert (zenon_L771_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H17b zenon_H178 zenon_Hf8 zenon_H1d5 zenon_H242 zenon_H13a zenon_H13b zenon_H13c zenon_H1ee zenon_H1c7 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_Hef zenon_Hf1 zenon_H173 zenon_H69 zenon_H1e5 zenon_H112 zenon_H71 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H107 zenon_H3a zenon_H1c3 zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H22 zenon_H26 zenon_H50 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.22 apply (zenon_L731_); trivial. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.22 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.22 apply (zenon_L260_); trivial. % 1.01/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.22 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.22 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.22 apply (zenon_L111_); trivial. % 1.01/1.22 apply (zenon_L770_); trivial. % 1.01/1.22 (* end of lemma zenon_L771_ *) % 1.01/1.22 assert (zenon_L772_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (ndr1_0) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp14)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp28)) -> (~(hskp9)) -> False). % 1.01/1.22 do 0 intro. intros zenon_Hf9 zenon_H16c zenon_H16b zenon_H16a zenon_H12 zenon_H1e5 zenon_H5f zenon_H5d zenon_H5e zenon_H1da zenon_H1d9 zenon_H112 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_Hdc zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H1e7 zenon_H81 zenon_H4e. % 1.01/1.22 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_He3 | zenon_intro zenon_Hfa ]. % 1.01/1.22 apply (zenon_L760_); trivial. % 1.01/1.22 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H82 | zenon_intro zenon_H4f ]. % 1.01/1.22 exact (zenon_H81 zenon_H82). % 1.01/1.22 exact (zenon_H4e zenon_H4f). % 1.01/1.22 (* end of lemma zenon_L772_ *) % 1.01/1.22 assert (zenon_L773_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H15c zenon_Hac zenon_H157 zenon_H1e7 zenon_H16a zenon_H5e zenon_H5d zenon_H5f zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H74 zenon_H75 zenon_H76 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H16b zenon_H16c zenon_H242 zenon_H4e zenon_Hf9. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.22 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.22 apply (zenon_L772_); trivial. % 1.01/1.22 apply (zenon_L692_); trivial. % 1.01/1.22 (* end of lemma zenon_L773_ *) % 1.01/1.22 assert (zenon_L774_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H6d zenon_H15b zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H1e7 zenon_H16a zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H74 zenon_H75 zenon_H76 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H16b zenon_H16c zenon_H242 zenon_H4e zenon_Hf9 zenon_H9 zenon_Hef zenon_Hf1 zenon_H3a. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.22 apply (zenon_L772_); trivial. % 1.01/1.22 apply (zenon_L745_); trivial. % 1.01/1.22 apply (zenon_L332_); trivial. % 1.01/1.22 apply (zenon_L773_); trivial. % 1.01/1.22 (* end of lemma zenon_L774_ *) % 1.01/1.22 assert (zenon_L775_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_H1e7 zenon_H16a zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H16b zenon_H16c zenon_H4e zenon_Hf9 zenon_Hef zenon_Hf1 zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H85 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a zenon_H1c3 zenon_H2bc zenon_H9 zenon_H161 zenon_H163 zenon_H15b zenon_H119. % 1.01/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.22 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.22 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.22 apply (zenon_L740_); trivial. % 1.01/1.22 apply (zenon_L755_); trivial. % 1.01/1.22 apply (zenon_L774_); trivial. % 1.01/1.22 (* end of lemma zenon_L775_ *) % 1.01/1.22 assert (zenon_L776_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H178 zenon_H2bc zenon_H1c3 zenon_H3a zenon_Hf1 zenon_Hef zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H15b zenon_H163 zenon_H161 zenon_H9 zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.22 apply (zenon_L744_); trivial. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.22 apply (zenon_L229_); trivial. % 1.01/1.22 apply (zenon_L775_); trivial. % 1.01/1.22 apply (zenon_L743_); trivial. % 1.01/1.22 (* end of lemma zenon_L776_ *) % 1.01/1.22 assert (zenon_L777_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.22 do 0 intro. intros zenon_H135 zenon_H119 zenon_H15b zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H4e zenon_Hf9 zenon_H1c3 zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.22 apply (zenon_L83_); trivial. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.22 apply (zenon_L89_); trivial. % 1.01/1.22 apply (zenon_L745_); trivial. % 1.01/1.22 apply (zenon_L714_); trivial. % 1.01/1.22 apply (zenon_L698_); trivial. % 1.01/1.22 (* end of lemma zenon_L777_ *) % 1.01/1.22 assert (zenon_L778_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H17b zenon_H138 zenon_H4e zenon_Hf9 zenon_H107 zenon_H3a zenon_H1c3 zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H119. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.22 apply (zenon_L756_); trivial. % 1.01/1.22 apply (zenon_L777_); trivial. % 1.01/1.22 (* end of lemma zenon_L778_ *) % 1.01/1.22 assert (zenon_L779_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H1e7 zenon_H19c zenon_H19b zenon_H19a zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.22 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.22 apply (zenon_L229_); trivial. % 1.01/1.22 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.22 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.22 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 1.01/1.22 apply (zenon_L759_); trivial. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 1.01/1.22 apply (zenon_L130_); trivial. % 1.01/1.22 apply (zenon_L110_); trivial. % 1.01/1.22 (* end of lemma zenon_L779_ *) % 1.01/1.22 assert (zenon_L780_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_H19c zenon_H19b zenon_H19a zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H4e zenon_Hf9 zenon_H3a zenon_H1c3 zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.22 apply (zenon_L721_); trivial. % 1.01/1.22 apply (zenon_L779_); trivial. % 1.01/1.22 (* end of lemma zenon_L780_ *) % 1.01/1.22 assert (zenon_L781_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H17b zenon_H178 zenon_H112 zenon_H1e5 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H107 zenon_H3a zenon_H1c3 zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H22 zenon_H26 zenon_H50 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.22 apply (zenon_L731_); trivial. % 1.01/1.22 apply (zenon_L325_); trivial. % 1.01/1.22 (* end of lemma zenon_L781_ *) % 1.01/1.22 assert (zenon_L782_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_H19c zenon_H19b zenon_H19a zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H15b zenon_H163 zenon_H161 zenon_H9 zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.22 apply (zenon_L744_); trivial. % 1.01/1.22 apply (zenon_L779_); trivial. % 1.01/1.22 (* end of lemma zenon_L782_ *) % 1.01/1.22 assert (zenon_L783_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H17b zenon_H178 zenon_H26 zenon_H112 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_H107 zenon_H3a zenon_H1c3 zenon_Hf9 zenon_H4e zenon_H2bc zenon_H187 zenon_H185 zenon_H186 zenon_H138. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.22 apply (zenon_L729_); trivial. % 1.01/1.22 apply (zenon_L777_); trivial. % 1.01/1.22 apply (zenon_L325_); trivial. % 1.01/1.22 (* end of lemma zenon_L783_ *) % 1.01/1.22 assert (zenon_L784_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H1f0 zenon_H1f9 zenon_H2bc zenon_H1b0 zenon_H1a3 zenon_H193 zenon_Hed zenon_H71 zenon_H178 zenon_H1e7 zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H4e zenon_Hf9 zenon_H3a zenon_H1c3 zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138 zenon_H246 zenon_H50 zenon_H1e5 zenon_H184. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.22 apply (zenon_L780_); trivial. % 1.01/1.22 apply (zenon_L781_); trivial. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.22 apply (zenon_L782_); trivial. % 1.01/1.22 apply (zenon_L783_); trivial. % 1.01/1.22 (* end of lemma zenon_L784_ *) % 1.01/1.22 assert (zenon_L785_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> False). % 1.01/1.22 do 0 intro. intros zenon_H218 zenon_H1e7 zenon_Hf1 zenon_H1ee zenon_H1fa zenon_H1f9 zenon_H1b0 zenon_H1a3 zenon_H193 zenon_H2d3 zenon_H2bc zenon_H183 zenon_H1e5 zenon_H69 zenon_H50 zenon_H246 zenon_H178 zenon_H173 zenon_Hed zenon_H266 zenon_H71 zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hf9 zenon_H3a zenon_H1c3 zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138 zenon_Ha8 zenon_H184 zenon_H17c zenon_H198 zenon_H1f8. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.22 apply (zenon_L728_); trivial. % 1.01/1.22 apply (zenon_L126_); trivial. % 1.01/1.22 apply (zenon_L736_); trivial. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.22 apply (zenon_L728_); trivial. % 1.01/1.22 apply (zenon_L116_); trivial. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.22 apply (zenon_L752_); trivial. % 1.01/1.22 apply (zenon_L126_); trivial. % 1.01/1.22 apply (zenon_L758_); trivial. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.22 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.22 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.22 apply (zenon_L752_); trivial. % 1.01/1.22 apply (zenon_L116_); trivial. % 1.01/1.22 apply (zenon_L193_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.23 apply (zenon_L764_); trivial. % 1.01/1.23 apply (zenon_L126_); trivial. % 1.01/1.23 apply (zenon_L766_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.23 apply (zenon_L764_); trivial. % 1.01/1.23 apply (zenon_L771_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.23 apply (zenon_L776_); trivial. % 1.01/1.23 apply (zenon_L778_); trivial. % 1.01/1.23 apply (zenon_L784_); trivial. % 1.01/1.23 apply (zenon_L193_); trivial. % 1.01/1.23 (* end of lemma zenon_L785_ *) % 1.01/1.23 assert (zenon_L786_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2345)) -> (~(c1_1 (a2345))) -> (~(c0_1 (a2345))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (ndr1_0) -> (~(hskp19)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp28)) -> False). % 1.01/1.23 do 0 intro. intros zenon_H216 zenon_H109 zenon_H10a zenon_H10b zenon_H1c3 zenon_H112 zenon_H1a3 zenon_H20d zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H202 zenon_H201 zenon_H12 zenon_H33 zenon_H1b0 zenon_H81. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 1.01/1.23 apply (zenon_L175_); trivial. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 1.01/1.23 apply (zenon_L174_); trivial. % 1.01/1.23 exact (zenon_H81 zenon_H82). % 1.01/1.23 (* end of lemma zenon_L786_ *) % 1.01/1.23 assert (zenon_L787_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H15c zenon_Hce zenon_H1c3 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H10b zenon_H10a zenon_H109 zenon_H216 zenon_H87 zenon_H85 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.23 apply (zenon_L693_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.23 apply (zenon_L786_); trivial. % 1.01/1.23 apply (zenon_L692_); trivial. % 1.01/1.23 (* end of lemma zenon_L787_ *) % 1.01/1.23 assert (zenon_L788_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (ndr1_0) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H12 zenon_H109 zenon_H10a zenon_H10b zenon_H7d zenon_H15f. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.23 apply (zenon_L101_); trivial. % 1.01/1.23 apply (zenon_L787_); trivial. % 1.01/1.23 (* end of lemma zenon_L788_ *) % 1.01/1.23 assert (zenon_L789_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23)))))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (c1_1 (a2315)) -> (c2_1 (a2315)) -> (c3_1 (a2315)) -> False). % 1.01/1.23 do 0 intro. intros zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H2bf zenon_H2be zenon_H1e9 zenon_H8b zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 1.01/1.23 apply (zenon_L34_); trivial. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 1.01/1.23 apply (zenon_L704_); trivial. % 1.01/1.23 apply (zenon_L308_); trivial. % 1.01/1.23 (* end of lemma zenon_L789_ *) % 1.01/1.23 assert (zenon_L790_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H116 zenon_Hf3 zenon_Hf zenon_Hb zenon_H9 zenon_H2d1 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H26 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H85 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.23 apply (zenon_L788_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H12. zenon_intro zenon_He1. % 1.01/1.23 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd5. zenon_intro zenon_He2. % 1.01/1.23 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.23 apply (zenon_L40_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.01/1.23 apply (zenon_L8_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.01/1.23 apply (zenon_L711_); trivial. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.01/1.23 apply (zenon_L75_); trivial. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H2d2 ]. % 1.01/1.23 apply (zenon_L55_); trivial. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1e9 | zenon_intro zenon_Hc ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H8b | zenon_intro zenon_H20e ]. % 1.01/1.23 apply (zenon_L789_); trivial. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H5c | zenon_intro zenon_H34 ]. % 1.01/1.23 apply (zenon_L172_); trivial. % 1.01/1.23 exact (zenon_H33 zenon_H34). % 1.01/1.23 exact (zenon_Hb zenon_Hc). % 1.01/1.23 apply (zenon_L176_); trivial. % 1.01/1.23 (* end of lemma zenon_L790_ *) % 1.01/1.23 assert (zenon_L791_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H119 zenon_Hf3 zenon_H2d1 zenon_H15f zenon_Hac zenon_H157 zenon_H85 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H76 zenon_H75 zenon_H74 zenon_H107 zenon_H26. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.23 apply (zenon_L707_); trivial. % 1.01/1.23 apply (zenon_L790_); trivial. % 1.01/1.23 (* end of lemma zenon_L791_ *) % 1.01/1.23 assert (zenon_L792_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_Hac zenon_H15f zenon_H2d1 zenon_Hf3 zenon_H119. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.23 apply (zenon_L791_); trivial. % 1.01/1.23 apply (zenon_L726_); trivial. % 1.01/1.23 (* end of lemma zenon_L792_ *) % 1.01/1.23 assert (zenon_L793_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H138 zenon_H72 zenon_H1d6 zenon_H22 zenon_H3a zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_Hf3 zenon_H2d1 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_Hed zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H71 zenon_Hf8. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.23 apply (zenon_L229_); trivial. % 1.01/1.23 apply (zenon_L792_); trivial. % 1.01/1.23 apply (zenon_L720_); trivial. % 1.01/1.23 (* end of lemma zenon_L793_ *) % 1.01/1.23 assert (zenon_L794_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H116 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H85 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.23 apply (zenon_L788_); trivial. % 1.01/1.23 apply (zenon_L106_); trivial. % 1.01/1.23 (* end of lemma zenon_L794_ *) % 1.01/1.23 assert (zenon_L795_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H116 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hf9 zenon_H4e zenon_H5e zenon_H5d zenon_H5f zenon_H85 zenon_Hed zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15b. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.01/1.23 apply (zenon_L723_); trivial. % 1.01/1.23 apply (zenon_L106_); trivial. % 1.01/1.23 (* end of lemma zenon_L795_ *) % 1.01/1.23 assert (zenon_L796_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.23 do 0 intro. intros zenon_H6d zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hf9 zenon_H4e zenon_H85 zenon_Hed zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15b zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.23 apply (zenon_L83_); trivial. % 1.01/1.23 apply (zenon_L795_); trivial. % 1.01/1.23 (* end of lemma zenon_L796_ *) % 1.01/1.23 assert (zenon_L797_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.23 apply (zenon_L83_); trivial. % 1.01/1.23 apply (zenon_L794_); trivial. % 1.01/1.23 apply (zenon_L796_); trivial. % 1.01/1.23 (* end of lemma zenon_L797_ *) % 1.01/1.23 assert (zenon_L798_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H50 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H3a zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_Hed zenon_H4e zenon_Hf9 zenon_H71. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.23 apply (zenon_L797_); trivial. % 1.01/1.23 apply (zenon_L730_); trivial. % 1.01/1.23 (* end of lemma zenon_L798_ *) % 1.01/1.23 assert (zenon_L799_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp19)) -> False). % 1.01/1.23 do 0 intro. intros zenon_Ha7 zenon_H1c3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H10b zenon_H10a zenon_H109 zenon_H20d zenon_H125 zenon_H124 zenon_H123 zenon_H202 zenon_H201 zenon_H33. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.01/1.23 apply (zenon_L711_); trivial. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.01/1.23 apply (zenon_L75_); trivial. % 1.01/1.23 apply (zenon_L194_); trivial. % 1.01/1.23 (* end of lemma zenon_L799_ *) % 1.01/1.23 assert (zenon_L800_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp19)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 1.01/1.23 do 0 intro. intros zenon_Hc9 zenon_H1b0 zenon_H33 zenon_H201 zenon_H202 zenon_H123 zenon_H124 zenon_H125 zenon_H20d zenon_H109 zenon_H10a zenon_H10b zenon_H1c3 zenon_H1a3 zenon_H112. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1b1 ]. % 1.01/1.23 apply (zenon_L195_); trivial. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H113 ]. % 1.01/1.23 exact (zenon_H1a3 zenon_H1a4). % 1.01/1.23 exact (zenon_H112 zenon_H113). % 1.01/1.23 (* end of lemma zenon_L800_ *) % 1.01/1.23 assert (zenon_L801_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H71 zenon_H26 zenon_H16a zenon_H16b zenon_H16c zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H66 zenon_H69 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_Hac zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H85 zenon_H87 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_Hce zenon_H119. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.23 apply (zenon_L83_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.23 apply (zenon_L40_); trivial. % 1.01/1.23 apply (zenon_L799_); trivial. % 1.01/1.23 apply (zenon_L800_); trivial. % 1.01/1.23 apply (zenon_L259_); trivial. % 1.01/1.23 (* end of lemma zenon_L801_ *) % 1.01/1.23 assert (zenon_L802_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.23 do 0 intro. intros zenon_H119 zenon_Hf3 zenon_Hf zenon_Hb zenon_H9 zenon_H2d1 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H26 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H85 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.23 apply (zenon_L83_); trivial. % 1.01/1.23 apply (zenon_L790_); trivial. % 1.01/1.23 (* end of lemma zenon_L802_ *) % 1.01/1.23 assert (zenon_L803_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H17b zenon_H178 zenon_H12c zenon_H12d zenon_H12e zenon_H1e5 zenon_H69 zenon_H2d1 zenon_H242 zenon_H1d5 zenon_H1c7 zenon_H266 zenon_H179 zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H107 zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H3a zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H50 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.23 apply (zenon_L798_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.23 apply (zenon_L801_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.23 apply (zenon_L802_); trivial. % 1.01/1.23 apply (zenon_L732_); trivial. % 1.01/1.23 apply (zenon_L734_); trivial. % 1.01/1.23 (* end of lemma zenon_L803_ *) % 1.01/1.23 assert (zenon_L804_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H180 zenon_H184 zenon_H178 zenon_H1e5 zenon_H69 zenon_H167 zenon_H50 zenon_H246 zenon_Hf8 zenon_H71 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H2d1 zenon_Hf3 zenon_H119 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H3a zenon_H22 zenon_H1d6 zenon_H72 zenon_H138. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.23 apply (zenon_L793_); trivial. % 1.01/1.23 apply (zenon_L803_); trivial. % 1.01/1.23 (* end of lemma zenon_L804_ *) % 1.01/1.23 assert (zenon_L805_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H198 zenon_H17c zenon_H184 zenon_Ha8 zenon_Hf8 zenon_H71 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H2d1 zenon_Hf3 zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H3a zenon_H22 zenon_H1d6 zenon_H72 zenon_H138 zenon_H246 zenon_H50 zenon_H167 zenon_H69 zenon_H1e5 zenon_H178 zenon_H183. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.23 apply (zenon_L793_); trivial. % 1.01/1.23 apply (zenon_L126_); trivial. % 1.01/1.23 apply (zenon_L804_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.01/1.23 apply (zenon_L793_); trivial. % 1.01/1.23 apply (zenon_L116_); trivial. % 1.01/1.23 (* end of lemma zenon_L805_ *) % 1.01/1.23 assert (zenon_L806_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> False). % 1.01/1.23 do 0 intro. intros zenon_Hc9 zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H1 zenon_H1d zenon_H2bc zenon_H1c3 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H10b zenon_H10a zenon_H109 zenon_H216. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.23 apply (zenon_L786_); trivial. % 1.01/1.23 apply (zenon_L745_); trivial. % 1.01/1.23 (* end of lemma zenon_L806_ *) % 1.01/1.23 assert (zenon_L807_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H35 zenon_Hce zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H10b zenon_H10a zenon_H109 zenon_H1c3 zenon_Hac. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.23 apply (zenon_L753_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.23 apply (zenon_L786_); trivial. % 1.01/1.23 apply (zenon_L713_); trivial. % 1.01/1.23 (* end of lemma zenon_L807_ *) % 1.01/1.23 assert (zenon_L808_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(hskp24)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H3a zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H85 zenon_H87 zenon_H216 zenon_H109 zenon_H10a zenon_H10b zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H1c3 zenon_H2bc zenon_H1 zenon_Hce. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.23 apply (zenon_L738_); trivial. % 1.01/1.23 apply (zenon_L806_); trivial. % 1.01/1.23 apply (zenon_L807_); trivial. % 1.01/1.23 (* end of lemma zenon_L808_ *) % 1.01/1.23 assert (zenon_L809_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H116 zenon_H15b zenon_Hce zenon_H2bc zenon_H1c3 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.23 apply (zenon_L808_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.01/1.23 apply (zenon_L693_); trivial. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.23 apply (zenon_L786_); trivial. % 1.01/1.23 apply (zenon_L737_); trivial. % 1.01/1.23 (* end of lemma zenon_L809_ *) % 1.01/1.23 assert (zenon_L810_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H119 zenon_H15b zenon_H2bc zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H3a zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H85 zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H33 zenon_H193 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H107 zenon_H26 zenon_Hce. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.23 apply (zenon_L740_); trivial. % 1.01/1.23 apply (zenon_L809_); trivial. % 1.01/1.23 (* end of lemma zenon_L810_ *) % 1.01/1.23 assert (zenon_L811_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_Hf3 zenon_H167 zenon_H165 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H85 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H2bc zenon_H15b zenon_H119. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.01/1.23 apply (zenon_L810_); trivial. % 1.01/1.23 apply (zenon_L741_); trivial. % 1.01/1.23 (* end of lemma zenon_L811_ *) % 1.01/1.23 assert (zenon_L812_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H138 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15b zenon_H2bc zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H3a zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H165 zenon_H167 zenon_Hf3 zenon_H71 zenon_Hf8. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.23 apply (zenon_L229_); trivial. % 1.01/1.23 apply (zenon_L811_); trivial. % 1.01/1.23 apply (zenon_L743_); trivial. % 1.01/1.23 (* end of lemma zenon_L812_ *) % 1.01/1.23 assert (zenon_L813_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2286))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> False). % 1.01/1.23 do 0 intro. intros zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H1 zenon_H1d zenon_H2bc zenon_H12 zenon_H271 zenon_H201 zenon_H202 zenon_H179 zenon_H270. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.23 apply (zenon_L356_); trivial. % 1.01/1.23 apply (zenon_L745_); trivial. % 1.01/1.23 (* end of lemma zenon_L813_ *) % 1.01/1.23 assert (zenon_L814_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c0_1 (a2286))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H15c zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H271 zenon_H201 zenon_H202 zenon_H179 zenon_H270. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.23 apply (zenon_L356_); trivial. % 1.01/1.23 apply (zenon_L692_); trivial. % 1.01/1.23 (* end of lemma zenon_L814_ *) % 1.01/1.23 assert (zenon_L815_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2286))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_Hf4 zenon_H15b zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H271 zenon_H201 zenon_H202 zenon_H179 zenon_H270 zenon_H266 zenon_H16b zenon_H16c zenon_H242 zenon_H1d5 zenon_H3a. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.01/1.23 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.23 apply (zenon_L813_); trivial. % 1.01/1.23 apply (zenon_L292_); trivial. % 1.01/1.23 apply (zenon_L814_); trivial. % 1.01/1.23 (* end of lemma zenon_L815_ *) % 1.01/1.23 assert (zenon_L816_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2286))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H15b zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H271 zenon_H201 zenon_H202 zenon_H179 zenon_H270 zenon_H266 zenon_H242 zenon_H1d5 zenon_H3a zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.01/1.23 apply (zenon_L229_); trivial. % 1.01/1.23 apply (zenon_L815_); trivial. % 1.01/1.23 (* end of lemma zenon_L816_ *) % 1.01/1.23 assert (zenon_L817_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(c0_1 (a2286))) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H178 zenon_H271 zenon_H179 zenon_H270 zenon_H266 zenon_H1d5 zenon_Hf8 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H2bc zenon_H15b zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.01/1.23 apply (zenon_L812_); trivial. % 1.01/1.23 apply (zenon_L816_); trivial. % 1.01/1.23 (* end of lemma zenon_L817_ *) % 1.01/1.23 assert (zenon_L818_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2286))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H35 zenon_Hac zenon_H1c3 zenon_H109 zenon_H10a zenon_H10b zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H271 zenon_H201 zenon_H202 zenon_H179 zenon_H270. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.01/1.23 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.01/1.23 apply (zenon_L356_); trivial. % 1.01/1.23 apply (zenon_L713_); trivial. % 1.01/1.23 (* end of lemma zenon_L818_ *) % 1.01/1.23 assert (zenon_L819_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(c0_1 (a2286))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(hskp24)) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H3a zenon_H1c3 zenon_H109 zenon_H10a zenon_H10b zenon_H270 zenon_H179 zenon_H202 zenon_H201 zenon_H271 zenon_H12 zenon_H2bc zenon_H1 zenon_H187 zenon_H185 zenon_H186 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.01/1.23 apply (zenon_L813_); trivial. % 1.01/1.23 apply (zenon_L818_); trivial. % 1.01/1.23 (* end of lemma zenon_L819_ *) % 1.01/1.23 assert (zenon_L820_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2286))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H116 zenon_H15b zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H271 zenon_H201 zenon_H202 zenon_H179 zenon_H270 zenon_H1c3 zenon_H3a. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.01/1.23 apply (zenon_L819_); trivial. % 1.01/1.23 apply (zenon_L814_); trivial. % 1.01/1.23 (* end of lemma zenon_L820_ *) % 1.01/1.23 assert (zenon_L821_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2286))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.01/1.23 do 0 intro. intros zenon_H17b zenon_H119 zenon_H15b zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H271 zenon_H201 zenon_H202 zenon_H179 zenon_H270 zenon_H1c3 zenon_H3a zenon_H107. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.23 apply (zenon_L83_); trivial. % 1.01/1.23 apply (zenon_L820_); trivial. % 1.01/1.23 (* end of lemma zenon_L821_ *) % 1.01/1.23 assert (zenon_L822_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.01/1.23 do 0 intro. intros zenon_H6d zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hf9 zenon_H4e zenon_H85 zenon_Hed zenon_H157 zenon_Hac zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H76 zenon_H75 zenon_H74 zenon_H107 zenon_H26. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.01/1.23 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.01/1.23 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.01/1.23 apply (zenon_L707_); trivial. % 1.01/1.23 apply (zenon_L795_); trivial. % 1.01/1.23 (* end of lemma zenon_L822_ *) % 1.01/1.23 assert (zenon_L823_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.24 apply (zenon_L707_); trivial. % 1.09/1.24 apply (zenon_L794_); trivial. % 1.09/1.24 apply (zenon_L822_); trivial. % 1.09/1.24 (* end of lemma zenon_L823_ *) % 1.09/1.24 assert (zenon_L824_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.24 apply (zenon_L229_); trivial. % 1.09/1.24 apply (zenon_L823_); trivial. % 1.09/1.24 (* end of lemma zenon_L824_ *) % 1.09/1.24 assert (zenon_L825_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H2d1 zenon_H1d5 zenon_H22 zenon_H3a zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_Hed zenon_H4e zenon_Hf9 zenon_H71 zenon_Hf8. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.24 apply (zenon_L824_); trivial. % 1.09/1.24 apply (zenon_L720_); trivial. % 1.09/1.24 (* end of lemma zenon_L825_ *) % 1.09/1.24 assert (zenon_L826_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_H72 zenon_H1d6 zenon_H22 zenon_H1e7 zenon_H16a zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H16b zenon_H16c zenon_Hef zenon_Hf1 zenon_H3a zenon_H26 zenon_H107 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_Hac zenon_H15f zenon_H2d1 zenon_Hf3 zenon_H119. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.24 apply (zenon_L791_); trivial. % 1.09/1.24 apply (zenon_L762_); trivial. % 1.09/1.24 (* end of lemma zenon_L826_ *) % 1.09/1.24 assert (zenon_L827_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hf8 zenon_H71 zenon_H72 zenon_H1d6 zenon_H22 zenon_H1e7 zenon_H16a zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H16b zenon_H16c zenon_Hef zenon_Hf1 zenon_H3a zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_Hac zenon_H15f zenon_H2d1 zenon_Hf3 zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.24 apply (zenon_L229_); trivial. % 1.09/1.24 apply (zenon_L826_); trivial. % 1.09/1.24 (* end of lemma zenon_L827_ *) % 1.09/1.24 assert (zenon_L828_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H178 zenon_Hf1 zenon_Hef zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H3a zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.24 apply (zenon_L825_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.24 apply (zenon_L827_); trivial. % 1.09/1.24 apply (zenon_L109_); trivial. % 1.09/1.24 (* end of lemma zenon_L828_ *) % 1.09/1.24 assert (zenon_L829_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H2d1 zenon_H1d5 zenon_H22 zenon_H3a zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_Hed zenon_H4e zenon_Hf9 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_Hef zenon_Hf1 zenon_H178. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.24 apply (zenon_L828_); trivial. % 1.09/1.24 apply (zenon_L126_); trivial. % 1.09/1.24 (* end of lemma zenon_L829_ *) % 1.09/1.24 assert (zenon_L830_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H50 zenon_H26 zenon_H22 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H3a zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_Hed zenon_H4e zenon_Hf9 zenon_H71. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.24 apply (zenon_L797_); trivial. % 1.09/1.24 apply (zenon_L734_); trivial. % 1.09/1.24 (* end of lemma zenon_L830_ *) % 1.09/1.24 assert (zenon_L831_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H17b zenon_H178 zenon_H1e5 zenon_H69 zenon_Hf zenon_Hb zenon_H9 zenon_H2d1 zenon_H242 zenon_Hf1 zenon_Hef zenon_H1da zenon_H1d9 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H107 zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H3a zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H22 zenon_H26 zenon_H50 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.24 apply (zenon_L830_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.24 apply (zenon_L801_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.24 apply (zenon_L802_); trivial. % 1.09/1.24 apply (zenon_L335_); trivial. % 1.09/1.24 apply (zenon_L730_); trivial. % 1.09/1.24 (* end of lemma zenon_L831_ *) % 1.09/1.24 assert (zenon_L832_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H17b zenon_H178 zenon_H1e5 zenon_H69 zenon_H2d1 zenon_H242 zenon_Hf1 zenon_Hef zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H1c7 zenon_H1ee zenon_H13c zenon_H13b zenon_H13a zenon_H1d5 zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H107 zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H3a zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H50 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.24 apply (zenon_L798_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.24 apply (zenon_L801_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.24 apply (zenon_L802_); trivial. % 1.09/1.24 apply (zenon_L770_); trivial. % 1.09/1.24 apply (zenon_L109_); trivial. % 1.09/1.24 (* end of lemma zenon_L832_ *) % 1.09/1.24 assert (zenon_L833_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H195 zenon_H184 zenon_H69 zenon_H1ee zenon_H50 zenon_H246 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H2d1 zenon_H1d5 zenon_H22 zenon_H3a zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_Hed zenon_H4e zenon_Hf9 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_Hef zenon_Hf1 zenon_H178. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.24 apply (zenon_L828_); trivial. % 1.09/1.24 apply (zenon_L832_); trivial. % 1.09/1.24 (* end of lemma zenon_L833_ *) % 1.09/1.24 assert (zenon_L834_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_H1e7 zenon_H16a zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H16b zenon_H16c zenon_H4e zenon_Hf9 zenon_H9 zenon_Hef zenon_Hf1 zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H85 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H2bc zenon_H15b zenon_H119. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.24 apply (zenon_L810_); trivial. % 1.09/1.24 apply (zenon_L774_); trivial. % 1.09/1.24 (* end of lemma zenon_L834_ *) % 1.09/1.24 assert (zenon_L835_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15b zenon_H2bc zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H3a zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H167 zenon_Hf3 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H9 zenon_Hef zenon_Hf1 zenon_H178. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.24 apply (zenon_L812_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.24 apply (zenon_L229_); trivial. % 1.09/1.24 apply (zenon_L834_); trivial. % 1.09/1.24 apply (zenon_L743_); trivial. % 1.09/1.24 apply (zenon_L126_); trivial. % 1.09/1.24 (* end of lemma zenon_L835_ *) % 1.09/1.24 assert (zenon_L836_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(hskp27)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2345)) -> (~(c1_1 (a2345))) -> (~(c0_1 (a2345))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H26 zenon_H50 zenon_H4e zenon_H4c zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H12 zenon_H1a3 zenon_H112 zenon_H1b0. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.24 apply (zenon_L285_); trivial. % 1.09/1.24 apply (zenon_L26_); trivial. % 1.09/1.24 (* end of lemma zenon_L836_ *) % 1.09/1.24 assert (zenon_L837_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hc9 zenon_H6e zenon_Hf1 zenon_Hef zenon_H9 zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H5f zenon_H5d zenon_H5e zenon_H16a zenon_H16b zenon_H16c zenon_H1e7 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H4e zenon_H50 zenon_H26. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.09/1.24 apply (zenon_L836_); trivial. % 1.09/1.24 apply (zenon_L159_); trivial. % 1.09/1.24 (* end of lemma zenon_L837_ *) % 1.09/1.24 assert (zenon_L838_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H6d zenon_H15b zenon_Hce zenon_H6e zenon_Hf1 zenon_Hef zenon_H9 zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H16a zenon_H16b zenon_H16c zenon_H1e7 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H87 zenon_H85 zenon_H2bc zenon_H187 zenon_H185 zenon_H186 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H3a. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.09/1.24 apply (zenon_L746_); trivial. % 1.09/1.24 apply (zenon_L837_); trivial. % 1.09/1.24 apply (zenon_L332_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.09/1.24 apply (zenon_L693_); trivial. % 1.09/1.24 apply (zenon_L837_); trivial. % 1.09/1.24 (* end of lemma zenon_L838_ *) % 1.09/1.24 assert (zenon_L839_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_H6e zenon_Hf1 zenon_Hef zenon_H9 zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H16a zenon_H16b zenon_H16c zenon_H1e7 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H4e zenon_H50 zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H85 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H2bc zenon_H15b zenon_H119. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.24 apply (zenon_L810_); trivial. % 1.09/1.24 apply (zenon_L838_); trivial. % 1.09/1.24 (* end of lemma zenon_L839_ *) % 1.09/1.24 assert (zenon_L840_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H178 zenon_Ha5 zenon_Ha3 zenon_H50 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H9 zenon_Hef zenon_Hf1 zenon_H6e zenon_Hf8 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H2bc zenon_H15b zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.24 apply (zenon_L812_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.24 apply (zenon_L229_); trivial. % 1.09/1.24 apply (zenon_L839_); trivial. % 1.09/1.24 apply (zenon_L90_); trivial. % 1.09/1.24 (* end of lemma zenon_L840_ *) % 1.09/1.24 assert (zenon_L841_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H138 zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H3a zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_Hed zenon_H4e zenon_Hf9 zenon_H71. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.24 apply (zenon_L797_); trivial. % 1.09/1.24 apply (zenon_L777_); trivial. % 1.09/1.24 (* end of lemma zenon_L841_ *) % 1.09/1.24 assert (zenon_L842_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H116 zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H2bc zenon_H187 zenon_H185 zenon_H186 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H3a. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.09/1.24 apply (zenon_L746_); trivial. % 1.09/1.24 apply (zenon_L806_); trivial. % 1.09/1.24 apply (zenon_L807_); trivial. % 1.09/1.24 apply (zenon_L787_); trivial. % 1.09/1.24 (* end of lemma zenon_L842_ *) % 1.09/1.24 assert (zenon_L843_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.09/1.24 do 0 intro. intros zenon_H119 zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H2bc zenon_H187 zenon_H185 zenon_H186 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H3a zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.24 apply (zenon_L83_); trivial. % 1.09/1.24 apply (zenon_L842_); trivial. % 1.09/1.24 (* end of lemma zenon_L843_ *) % 1.09/1.24 assert (zenon_L844_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H71 zenon_H26 zenon_H16a zenon_H16b zenon_H16c zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H66 zenon_H69 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H3a zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H85 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_H119. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.24 apply (zenon_L843_); trivial. % 1.09/1.24 apply (zenon_L259_); trivial. % 1.09/1.24 (* end of lemma zenon_L844_ *) % 1.09/1.24 assert (zenon_L845_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H17b zenon_H178 zenon_H26 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H69 zenon_H242 zenon_H50 zenon_H12e zenon_H12d zenon_H12c zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H9 zenon_Hef zenon_Hf1 zenon_H6e zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H107 zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H3a zenon_H2bc zenon_H187 zenon_H185 zenon_H186 zenon_H138. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.24 apply (zenon_L841_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.24 apply (zenon_L844_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.24 apply (zenon_L843_); trivial. % 1.09/1.24 apply (zenon_L838_); trivial. % 1.09/1.24 apply (zenon_L777_); trivial. % 1.09/1.24 (* end of lemma zenon_L845_ *) % 1.09/1.24 assert (zenon_L846_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H6d zenon_H72 zenon_H1d6 zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H1d5 zenon_H242 zenon_H13a zenon_H13b zenon_H13c zenon_H2be zenon_H2bf zenon_H1ee zenon_H76 zenon_H75 zenon_H74 zenon_H112 zenon_H1c7 zenon_H1e7 zenon_H16c zenon_H16b zenon_H16a zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H9 zenon_Hef zenon_Hf1 zenon_H6e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.09/1.24 apply (zenon_L769_); trivial. % 1.09/1.24 apply (zenon_L761_); trivial. % 1.09/1.24 (* end of lemma zenon_L846_ *) % 1.09/1.24 assert (zenon_L847_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_H72 zenon_H1d6 zenon_H1d5 zenon_H13a zenon_H13b zenon_H13c zenon_H1ee zenon_H1c7 zenon_H1e7 zenon_H16c zenon_H16b zenon_H16a zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H9 zenon_Hef zenon_Hf1 zenon_H6e zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H85 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H2bc zenon_H15b zenon_H119. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.24 apply (zenon_L810_); trivial. % 1.09/1.24 apply (zenon_L846_); trivial. % 1.09/1.24 (* end of lemma zenon_L847_ *) % 1.09/1.24 assert (zenon_L848_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_Hf8 zenon_H72 zenon_H1d6 zenon_H4e zenon_H50 zenon_H1d5 zenon_H242 zenon_H13a zenon_H13b zenon_H13c zenon_H1ee zenon_H1c7 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H9 zenon_Hef zenon_Hf1 zenon_H6e zenon_H119 zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H2bc zenon_H187 zenon_H185 zenon_H186 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H3a zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H69 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H1e5 zenon_H16c zenon_H16b zenon_H16a zenon_H26 zenon_H71. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.24 apply (zenon_L844_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.24 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.24 apply (zenon_L843_); trivial. % 1.09/1.24 apply (zenon_L770_); trivial. % 1.09/1.24 (* end of lemma zenon_L848_ *) % 1.09/1.24 assert (zenon_L849_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H17b zenon_H178 zenon_H26 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H69 zenon_H6e zenon_Hf1 zenon_Hef zenon_H9 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H1c7 zenon_H1ee zenon_H13c zenon_H13b zenon_H13a zenon_H242 zenon_H1d5 zenon_H50 zenon_H1d6 zenon_H72 zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H107 zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H3a zenon_H2bc zenon_H187 zenon_H185 zenon_H186 zenon_H138. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.24 apply (zenon_L841_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.24 apply (zenon_L848_); trivial. % 1.09/1.24 apply (zenon_L109_); trivial. % 1.09/1.24 (* end of lemma zenon_L849_ *) % 1.09/1.24 assert (zenon_L850_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.09/1.24 do 0 intro. intros zenon_H195 zenon_H184 zenon_H246 zenon_H69 zenon_H50 zenon_H15f zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H119 zenon_H15b zenon_H2bc zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H3a zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H167 zenon_Hf3 zenon_H71 zenon_Hf8 zenon_H72 zenon_H1d6 zenon_H1d5 zenon_H1ee zenon_H1c7 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H9 zenon_Hef zenon_Hf1 zenon_H6e zenon_H178. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.24 apply (zenon_L812_); trivial. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.09/1.24 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.09/1.24 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.24 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.24 apply (zenon_L229_); trivial. % 1.09/1.24 apply (zenon_L847_); trivial. % 1.09/1.24 apply (zenon_L109_); trivial. % 1.09/1.24 apply (zenon_L849_); trivial. % 1.09/1.24 (* end of lemma zenon_L850_ *) % 1.09/1.24 assert (zenon_L851_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_H19c zenon_H19b zenon_H19a zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H3a zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.25 apply (zenon_L825_); trivial. % 1.09/1.25 apply (zenon_L779_); trivial. % 1.09/1.25 (* end of lemma zenon_L851_ *) % 1.09/1.25 assert (zenon_L852_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H17b zenon_H178 zenon_H1e5 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H107 zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H3a zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H50 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.25 apply (zenon_L798_); trivial. % 1.09/1.25 apply (zenon_L325_); trivial. % 1.09/1.25 (* end of lemma zenon_L852_ *) % 1.09/1.25 assert (zenon_L853_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_H19c zenon_H19b zenon_H19a zenon_Hf8 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H2bc zenon_H15b zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.25 apply (zenon_L812_); trivial. % 1.09/1.25 apply (zenon_L779_); trivial. % 1.09/1.25 (* end of lemma zenon_L853_ *) % 1.09/1.25 assert (zenon_L854_ : ((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1fb zenon_H184 zenon_H1e5 zenon_H246 zenon_H15f zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H119 zenon_H15b zenon_H2bc zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H3a zenon_Hac zenon_H157 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H167 zenon_Hf3 zenon_H71 zenon_Hf8 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7 zenon_H178. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.25 apply (zenon_L853_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.25 apply (zenon_L841_); trivial. % 1.09/1.25 apply (zenon_L325_); trivial. % 1.09/1.25 (* end of lemma zenon_L854_ *) % 1.09/1.25 assert (zenon_L855_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1f0 zenon_H1f9 zenon_H2bc zenon_H193 zenon_H178 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H3a zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138 zenon_H246 zenon_H50 zenon_H1e5 zenon_H184. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.25 apply (zenon_L851_); trivial. % 1.09/1.25 apply (zenon_L852_); trivial. % 1.09/1.25 apply (zenon_L854_); trivial. % 1.09/1.25 (* end of lemma zenon_L855_ *) % 1.09/1.25 assert (zenon_L856_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(c3_1 (a2285))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(hskp14)) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hf4 zenon_H242 zenon_H2cf zenon_H21d zenon_H21f zenon_H21e zenon_H2c0 zenon_H2bf zenon_H2be zenon_Hdc. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 1.09/1.25 apply (zenon_L34_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 1.09/1.25 apply (zenon_L705_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H2d0 ]. % 1.09/1.25 apply (zenon_L212_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H14d | zenon_intro zenon_Hdd ]. % 1.09/1.25 apply (zenon_L691_); trivial. % 1.09/1.25 exact (zenon_Hdc zenon_Hdd). % 1.09/1.25 (* end of lemma zenon_L856_ *) % 1.09/1.25 assert (zenon_L857_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(c3_1 (a2285))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hf8 zenon_H242 zenon_H21e zenon_H21f zenon_H21d zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.25 apply (zenon_L229_); trivial. % 1.09/1.25 apply (zenon_L856_); trivial. % 1.09/1.25 (* end of lemma zenon_L857_ *) % 1.09/1.25 assert (zenon_L858_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c3_1 (a2285))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H21d zenon_H21f zenon_H21e zenon_H242 zenon_Hf8. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.25 apply (zenon_L857_); trivial. % 1.09/1.25 apply (zenon_L126_); trivial. % 1.09/1.25 (* end of lemma zenon_L858_ *) % 1.09/1.25 assert (zenon_L859_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp3)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2316)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (~(hskp17)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H21 zenon_H69 zenon_H112 zenon_H21d zenon_H21e zenon_H21f zenon_H1e5 zenon_H5f zenon_H5e zenon_H5d zenon_H66. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H52 | zenon_intro zenon_H6c ]. % 1.09/1.25 apply (zenon_L401_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H5c | zenon_intro zenon_H67 ]. % 1.09/1.25 apply (zenon_L29_); trivial. % 1.09/1.25 exact (zenon_H66 zenon_H67). % 1.09/1.25 (* end of lemma zenon_L859_ *) % 1.09/1.25 assert (zenon_L860_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H6d zenon_H26 zenon_H21d zenon_H21e zenon_H21f zenon_H112 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H66 zenon_H69. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.25 apply (zenon_L253_); trivial. % 1.09/1.25 apply (zenon_L859_); trivial. % 1.09/1.25 (* end of lemma zenon_L860_ *) % 1.09/1.25 assert (zenon_L861_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hf4 zenon_Hf3 zenon_H2d1 zenon_Hb zenon_H2be zenon_H2bf zenon_H242 zenon_H21d zenon_H21e zenon_H21f zenon_H85 zenon_Hed. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.09/1.25 apply (zenon_L209_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H12. zenon_intro zenon_He1. % 1.09/1.25 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd5. zenon_intro zenon_He2. % 1.09/1.25 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H2d2 ]. % 1.09/1.25 apply (zenon_L55_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1e9 | zenon_intro zenon_Hc ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 1.09/1.25 apply (zenon_L34_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 1.09/1.25 apply (zenon_L704_); trivial. % 1.09/1.25 apply (zenon_L212_); trivial. % 1.09/1.25 exact (zenon_Hb zenon_Hc). % 1.09/1.25 (* end of lemma zenon_L861_ *) % 1.09/1.25 assert (zenon_L862_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H17b zenon_H138 zenon_H72 zenon_H1d6 zenon_H12c zenon_H12d zenon_H12e zenon_H22e zenon_H71 zenon_H26 zenon_H112 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H69 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H36 zenon_H31 zenon_H2bf zenon_H2be zenon_Hb zenon_H2d1 zenon_Hf3 zenon_H242 zenon_Hf8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.09/1.25 apply (zenon_L209_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_He0). zenon_intro zenon_H12. zenon_intro zenon_He1. % 1.09/1.25 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd5. zenon_intro zenon_He2. % 1.09/1.25 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H2d2 ]. % 1.09/1.25 apply (zenon_L55_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H1e9 | zenon_intro zenon_Hc ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H27 | zenon_intro zenon_H39 ]. % 1.09/1.25 apply (zenon_L704_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 1.09/1.25 exact (zenon_H31 zenon_H32). % 1.09/1.25 exact (zenon_H33 zenon_H34). % 1.09/1.25 exact (zenon_Hb zenon_Hc). % 1.09/1.25 apply (zenon_L860_); trivial. % 1.09/1.25 apply (zenon_L861_); trivial. % 1.09/1.25 apply (zenon_L409_); trivial. % 1.09/1.25 (* end of lemma zenon_L862_ *) % 1.09/1.25 assert (zenon_L863_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(c3_1 (a2285))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H183 zenon_H138 zenon_H72 zenon_H1d6 zenon_H22e zenon_H71 zenon_H26 zenon_H112 zenon_H1e5 zenon_H246 zenon_H69 zenon_Hed zenon_H36 zenon_Hb zenon_H2d1 zenon_Hf3 zenon_Hf8 zenon_H242 zenon_H21e zenon_H21f zenon_H21d zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H31 zenon_Ha8 zenon_H184. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.09/1.25 apply (zenon_L858_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.25 apply (zenon_L857_); trivial. % 1.09/1.25 apply (zenon_L862_); trivial. % 1.09/1.25 (* end of lemma zenon_L863_ *) % 1.09/1.25 assert (zenon_L864_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c3_1 (a2285))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H179 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H21d zenon_H21f zenon_H21e zenon_H242 zenon_Hf8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.25 apply (zenon_L857_); trivial. % 1.09/1.25 apply (zenon_L116_); trivial. % 1.09/1.25 (* end of lemma zenon_L864_ *) % 1.09/1.25 assert (zenon_L865_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c3_1 (a2285))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H198 zenon_H17c zenon_H179 zenon_H184 zenon_Ha8 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H21d zenon_H21f zenon_H21e zenon_H242 zenon_Hf8 zenon_Hf3 zenon_H2d1 zenon_Hb zenon_H36 zenon_Hed zenon_H69 zenon_H246 zenon_H1e5 zenon_H112 zenon_H26 zenon_H71 zenon_H22e zenon_H1d6 zenon_H72 zenon_H138 zenon_H183. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.09/1.25 apply (zenon_L863_); trivial. % 1.09/1.25 apply (zenon_L864_); trivial. % 1.09/1.25 (* end of lemma zenon_L865_ *) % 1.09/1.25 assert (zenon_L866_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H138 zenon_H119 zenon_H15b zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H4e zenon_Hf9 zenon_H1c3 zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_H165 zenon_H167 zenon_Hf3. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.25 apply (zenon_L395_); trivial. % 1.09/1.25 apply (zenon_L777_); trivial. % 1.09/1.25 (* end of lemma zenon_L866_ *) % 1.09/1.25 assert (zenon_L867_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H6d zenon_H26 zenon_H69 zenon_H66 zenon_H21d zenon_H21e zenon_H21f zenon_H112 zenon_H1e5 zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.25 apply (zenon_L241_); trivial. % 1.09/1.25 apply (zenon_L859_); trivial. % 1.09/1.25 (* end of lemma zenon_L867_ *) % 1.09/1.25 assert (zenon_L868_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c1_1 (a2315)) -> (c2_1 (a2315)) -> (c3_1 (a2315)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H99 zenon_H12 zenon_H52 zenon_H14 zenon_H15 zenon_H16. % 1.09/1.25 generalize (zenon_H99 (a2315)). zenon_intro zenon_H2d5. % 1.09/1.25 apply (zenon_imply_s _ _ zenon_H2d5); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d6 ]. % 1.09/1.25 exact (zenon_H11 zenon_H12). % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H25f | zenon_intro zenon_H2d7 ]. % 1.09/1.25 apply (zenon_L255_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H2d7); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b ]. % 1.09/1.25 exact (zenon_H1a zenon_H14). % 1.09/1.25 exact (zenon_H1b zenon_H16). % 1.09/1.25 (* end of lemma zenon_L868_ *) % 1.09/1.25 assert (zenon_L869_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2337)) -> (c0_1 (a2337)) -> (~(c1_1 (a2337))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c1_1 (a2315)) -> (c2_1 (a2315)) -> (c3_1 (a2315)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H157 zenon_H146 zenon_H145 zenon_H144 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H12 zenon_H52 zenon_H14 zenon_H15 zenon_H16. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 1.09/1.25 apply (zenon_L93_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 1.09/1.25 apply (zenon_L691_); trivial. % 1.09/1.25 apply (zenon_L868_); trivial. % 1.09/1.25 (* end of lemma zenon_L869_ *) % 1.09/1.25 assert (zenon_L870_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H15c zenon_H1d5 zenon_H242 zenon_H21d zenon_H21e zenon_H21f zenon_H112 zenon_H1e5 zenon_H76 zenon_H75 zenon_H74 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H179 zenon_H266 zenon_H26. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1d2 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.25 apply (zenon_L241_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H52 | zenon_intro zenon_H267 ]. % 1.09/1.25 apply (zenon_L869_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H17a ]. % 1.09/1.25 exact (zenon_H1c5 zenon_H1c6). % 1.09/1.25 exact (zenon_H179 zenon_H17a). % 1.09/1.25 apply (zenon_L387_); trivial. % 1.09/1.25 (* end of lemma zenon_L870_ *) % 1.09/1.25 assert (zenon_L871_ : ((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c3_1 (a2285))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1fb zenon_H198 zenon_H17c zenon_H184 zenon_Ha8 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H21d zenon_H21f zenon_H21e zenon_H242 zenon_Hf8 zenon_H138 zenon_H119 zenon_H15b zenon_Hac zenon_H157 zenon_H2bc zenon_H4e zenon_Hf9 zenon_H1c3 zenon_H3a zenon_H107 zenon_Hed zenon_H167 zenon_Hf3 zenon_H266 zenon_H1d5 zenon_Hce zenon_H2d3 zenon_H161 zenon_H179 zenon_H87 zenon_H36 zenon_H246 zenon_H1e5 zenon_H112 zenon_H69 zenon_H26 zenon_H71 zenon_H22e zenon_H1d6 zenon_H72 zenon_H178 zenon_H183. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.09/1.25 apply (zenon_L858_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.25 apply (zenon_L857_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.25 apply (zenon_L866_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.25 apply (zenon_L748_); trivial. % 1.09/1.25 apply (zenon_L18_); trivial. % 1.09/1.25 apply (zenon_L750_); trivial. % 1.09/1.25 apply (zenon_L867_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.25 apply (zenon_L749_); trivial. % 1.09/1.25 apply (zenon_L870_); trivial. % 1.09/1.25 apply (zenon_L409_); trivial. % 1.09/1.25 apply (zenon_L864_); trivial. % 1.09/1.25 (* end of lemma zenon_L871_ *) % 1.09/1.25 assert (zenon_L872_ : ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2285))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H2be zenon_H2bf zenon_H1ee zenon_H13c zenon_H13b zenon_H13a zenon_H21d zenon_H21f zenon_H21e zenon_H12 zenon_H1f. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H73 | zenon_intro zenon_H243 ]. % 1.09/1.25 apply (zenon_L34_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H27 | zenon_intro zenon_H14e ]. % 1.09/1.25 apply (zenon_L767_); trivial. % 1.09/1.25 apply (zenon_L213_); trivial. % 1.09/1.25 (* end of lemma zenon_L872_ *) % 1.09/1.25 assert (zenon_L873_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2285))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hf4 zenon_H72 zenon_H26 zenon_H112 zenon_H1e5 zenon_H11a zenon_H11b zenon_H11c zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1d6 zenon_H1ee zenon_H2bf zenon_H2be zenon_H13c zenon_H13b zenon_H13a zenon_H21d zenon_H21f zenon_H21e zenon_H242. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.09/1.25 apply (zenon_L872_); trivial. % 1.09/1.25 apply (zenon_L403_); trivial. % 1.09/1.25 (* end of lemma zenon_L873_ *) % 1.09/1.25 assert (zenon_L874_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H138 zenon_Hf8 zenon_H1ee zenon_H13c zenon_H13b zenon_H13a zenon_H242 zenon_H119 zenon_H72 zenon_H112 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H26 zenon_H22 zenon_H193 zenon_Hf9 zenon_H4e zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H69 zenon_H71 zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_H165 zenon_H167 zenon_Hf3. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.25 apply (zenon_L395_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.25 apply (zenon_L83_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.25 apply (zenon_L202_); trivial. % 1.09/1.25 apply (zenon_L714_); trivial. % 1.09/1.25 apply (zenon_L403_); trivial. % 1.09/1.25 apply (zenon_L860_); trivial. % 1.09/1.25 apply (zenon_L873_); trivial. % 1.09/1.25 (* end of lemma zenon_L874_ *) % 1.09/1.25 assert (zenon_L875_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H17b zenon_H178 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_Hf3 zenon_H167 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H71 zenon_H69 zenon_H107 zenon_H3a zenon_Hac zenon_H1c3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H4e zenon_Hf9 zenon_H193 zenon_H22 zenon_H26 zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H1e5 zenon_H112 zenon_H72 zenon_H119 zenon_H242 zenon_H13a zenon_H13b zenon_H13c zenon_H1ee zenon_Hf8 zenon_H138. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.25 apply (zenon_L874_); trivial. % 1.09/1.25 apply (zenon_L407_); trivial. % 1.09/1.25 (* end of lemma zenon_L875_ *) % 1.09/1.25 assert (zenon_L876_ : ((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H219 zenon_H1f8 zenon_H1b0 zenon_H1a3 zenon_H234 zenon_H21d zenon_H21e zenon_H21f zenon_H112 zenon_H1e5 zenon_Hf8 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H138 zenon_H1ee zenon_H119 zenon_H72 zenon_H246 zenon_H1d6 zenon_H26 zenon_H22 zenon_H193 zenon_Hf9 zenon_H157 zenon_H1c3 zenon_Hac zenon_H3a zenon_H107 zenon_H69 zenon_H71 zenon_Hed zenon_H167 zenon_Hf3 zenon_H1e7 zenon_H178 zenon_H184 zenon_H198. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.09/1.25 apply (zenon_L226_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.25 apply (zenon_L857_); trivial. % 1.09/1.25 apply (zenon_L875_); trivial. % 1.09/1.25 apply (zenon_L193_); trivial. % 1.09/1.25 (* end of lemma zenon_L876_ *) % 1.09/1.25 assert (zenon_L877_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(c3_1 (a2285))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H218 zenon_H234 zenon_H1ee zenon_H22 zenon_H193 zenon_H1e7 zenon_H1f9 zenon_H119 zenon_H15b zenon_Hac zenon_H157 zenon_H2bc zenon_Hf9 zenon_H1c3 zenon_H3a zenon_H107 zenon_H167 zenon_H266 zenon_H1d5 zenon_Hce zenon_H2d3 zenon_H161 zenon_H87 zenon_H178 zenon_H183 zenon_H138 zenon_H72 zenon_H1d6 zenon_H22e zenon_H71 zenon_H26 zenon_H112 zenon_H1e5 zenon_H246 zenon_H69 zenon_Hed zenon_H36 zenon_H2d1 zenon_Hf3 zenon_Hf8 zenon_H242 zenon_H21e zenon_H21f zenon_H21d zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Ha8 zenon_H184 zenon_H17c zenon_H198 zenon_H1a3 zenon_H1b0 zenon_H1f8. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.09/1.25 apply (zenon_L865_); trivial. % 1.09/1.25 apply (zenon_L871_); trivial. % 1.09/1.25 apply (zenon_L193_); trivial. % 1.09/1.25 apply (zenon_L876_); trivial. % 1.09/1.25 (* end of lemma zenon_L877_ *) % 1.09/1.25 assert (zenon_L878_ : ((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2286))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c3_1 (a2285))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1fb zenon_H184 zenon_H119 zenon_H15b zenon_Hac zenon_H157 zenon_H2bc zenon_H271 zenon_H201 zenon_H202 zenon_H179 zenon_H270 zenon_H1c3 zenon_H3a zenon_H107 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H21d zenon_H21f zenon_H21e zenon_H242 zenon_Hf8. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.25 apply (zenon_L857_); trivial. % 1.09/1.25 apply (zenon_L821_); trivial. % 1.09/1.25 (* end of lemma zenon_L878_ *) % 1.09/1.25 assert (zenon_L879_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c0_1 (a2345))) -> (~(c1_1 (a2345))) -> (c3_1 (a2345)) -> (~(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H216 zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H105 zenon_H107 zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H81. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 1.09/1.25 apply (zenon_L72_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 1.09/1.25 apply (zenon_L413_); trivial. % 1.09/1.25 exact (zenon_H81 zenon_H82). % 1.09/1.25 (* end of lemma zenon_L879_ *) % 1.09/1.25 assert (zenon_L880_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H15c zenon_Hce zenon_H107 zenon_H105 zenon_H286 zenon_H287 zenon_H288 zenon_H216 zenon_H87 zenon_H85 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.09/1.25 apply (zenon_L693_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.25 apply (zenon_L879_); trivial. % 1.09/1.25 apply (zenon_L692_); trivial. % 1.09/1.25 (* end of lemma zenon_L880_ *) % 1.09/1.25 assert (zenon_L881_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp22)) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H15b zenon_Hce zenon_H107 zenon_H105 zenon_H286 zenon_H287 zenon_H288 zenon_H216 zenon_H87 zenon_H85 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H3 zenon_H5 zenon_H7. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.25 apply (zenon_L4_); trivial. % 1.09/1.25 apply (zenon_L880_); trivial. % 1.09/1.25 (* end of lemma zenon_L881_ *) % 1.09/1.25 assert (zenon_L882_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> False). % 1.09/1.25 do 0 intro. intros zenon_Ha7 zenon_H1c3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H10b zenon_H10a zenon_H109 zenon_H286 zenon_H287 zenon_H288. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.09/1.25 apply (zenon_L711_); trivial. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.09/1.25 apply (zenon_L75_); trivial. % 1.09/1.25 apply (zenon_L413_); trivial. % 1.09/1.25 (* end of lemma zenon_L882_ *) % 1.09/1.25 assert (zenon_L883_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H109 zenon_H10a zenon_H10b zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H83 zenon_H85 zenon_H87. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.25 apply (zenon_L40_); trivial. % 1.09/1.25 apply (zenon_L882_); trivial. % 1.09/1.25 (* end of lemma zenon_L883_ *) % 1.09/1.25 assert (zenon_L884_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H116 zenon_Hce zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_Hac. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.09/1.25 apply (zenon_L883_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.25 apply (zenon_L436_); trivial. % 1.09/1.25 apply (zenon_L882_); trivial. % 1.09/1.25 (* end of lemma zenon_L884_ *) % 1.09/1.25 assert (zenon_L885_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hf4 zenon_H119 zenon_Hce zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_Hac zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H107 zenon_H26. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.25 apply (zenon_L707_); trivial. % 1.09/1.25 apply (zenon_L884_); trivial. % 1.09/1.25 (* end of lemma zenon_L885_ *) % 1.09/1.25 assert (zenon_L886_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> (~(hskp4)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H138 zenon_Hf1 zenon_Hef zenon_H71 zenon_H6e zenon_H69 zenon_Hf zenon_Hb zenon_H9 zenon_H4e zenon_H50 zenon_H26 zenon_Hf5 zenon_Hca zenon_Ha5 zenon_Ha3 zenon_H7 zenon_H5 zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H87 zenon_H216 zenon_H288 zenon_H287 zenon_H286 zenon_H107 zenon_Hce zenon_H15b zenon_H291 zenon_H45 zenon_H1c3 zenon_H119 zenon_H2cf zenon_Hdc zenon_H242 zenon_Hf8. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.09/1.25 apply (zenon_L881_); trivial. % 1.09/1.25 apply (zenon_L99_); trivial. % 1.09/1.25 apply (zenon_L425_); trivial. % 1.09/1.25 apply (zenon_L32_); trivial. % 1.09/1.25 apply (zenon_L885_); trivial. % 1.09/1.25 apply (zenon_L109_); trivial. % 1.09/1.25 (* end of lemma zenon_L886_ *) % 1.09/1.25 assert (zenon_L887_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H116 zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.25 apply (zenon_L89_); trivial. % 1.09/1.25 apply (zenon_L882_); trivial. % 1.09/1.25 (* end of lemma zenon_L887_ *) % 1.09/1.25 assert (zenon_L888_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.09/1.25 do 0 intro. intros zenon_H135 zenon_H119 zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H4e zenon_Hf9 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.25 apply (zenon_L83_); trivial. % 1.09/1.25 apply (zenon_L887_); trivial. % 1.09/1.25 (* end of lemma zenon_L888_ *) % 1.09/1.25 assert (zenon_L889_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H17b zenon_H138 zenon_H4e zenon_Hf9 zenon_H107 zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H87 zenon_H216 zenon_Hce zenon_H119. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.25 apply (zenon_L83_); trivial. % 1.09/1.25 apply (zenon_L884_); trivial. % 1.09/1.25 apply (zenon_L888_); trivial. % 1.09/1.25 (* end of lemma zenon_L889_ *) % 1.09/1.25 assert (zenon_L890_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H119 zenon_H216 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_Hac zenon_Ha5 zenon_Ha3 zenon_H12e zenon_H12d zenon_H12c zenon_H85 zenon_H87 zenon_H107 zenon_Hca zenon_Hce. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.25 apply (zenon_L87_); trivial. % 1.09/1.25 apply (zenon_L884_); trivial. % 1.09/1.25 (* end of lemma zenon_L890_ *) % 1.09/1.25 assert (zenon_L891_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H180 zenon_H138 zenon_H4e zenon_Hf9 zenon_Hce zenon_Hca zenon_H107 zenon_H87 zenon_Ha3 zenon_Ha5 zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H216 zenon_H119. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.25 apply (zenon_L890_); trivial. % 1.09/1.25 apply (zenon_L90_); trivial. % 1.09/1.25 (* end of lemma zenon_L891_ *) % 1.09/1.25 assert (zenon_L892_ : ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp20)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_Hce zenon_H107 zenon_H105 zenon_H286 zenon_H287 zenon_H288 zenon_H216 zenon_H87 zenon_H85 zenon_H2cf zenon_Hdc zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.09/1.25 apply (zenon_L738_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.09/1.25 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.25 apply (zenon_L879_); trivial. % 1.09/1.25 apply (zenon_L737_); trivial. % 1.09/1.25 (* end of lemma zenon_L892_ *) % 1.09/1.25 assert (zenon_L893_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H119 zenon_H1c3 zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H85 zenon_H87 zenon_H216 zenon_H288 zenon_H287 zenon_H286 zenon_H107 zenon_Hce. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.25 apply (zenon_L892_); trivial. % 1.09/1.25 apply (zenon_L884_); trivial. % 1.09/1.25 (* end of lemma zenon_L893_ *) % 1.09/1.25 assert (zenon_L894_ : ((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H1fb zenon_H184 zenon_H4e zenon_Hf9 zenon_H119 zenon_H1c3 zenon_Hac zenon_H157 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H216 zenon_H288 zenon_H287 zenon_H286 zenon_H107 zenon_Hce zenon_H9 zenon_Hef zenon_Hf1 zenon_H138. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.25 apply (zenon_L893_); trivial. % 1.09/1.25 apply (zenon_L109_); trivial. % 1.09/1.25 apply (zenon_L889_); trivial. % 1.09/1.25 (* end of lemma zenon_L894_ *) % 1.09/1.25 assert (zenon_L895_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H119 zenon_H1c3 zenon_H15b zenon_Hce zenon_H107 zenon_H286 zenon_H287 zenon_H288 zenon_H216 zenon_H87 zenon_H85 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac zenon_H5 zenon_H7 zenon_H21d zenon_H21e zenon_H21f zenon_H22e zenon_H45 zenon_H47 zenon_H72 zenon_Hf5. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.25 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.09/1.25 apply (zenon_L881_); trivial. % 1.09/1.25 apply (zenon_L220_); trivial. % 1.09/1.25 apply (zenon_L884_); trivial. % 1.09/1.25 (* end of lemma zenon_L895_ *) % 1.09/1.25 assert (zenon_L896_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((hskp24)\/((hskp22)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H138 zenon_H4e zenon_Hf9 zenon_Hf5 zenon_H72 zenon_H47 zenon_H45 zenon_H22e zenon_H21f zenon_H21e zenon_H21d zenon_H7 zenon_H5 zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H87 zenon_H216 zenon_H288 zenon_H287 zenon_H286 zenon_H107 zenon_Hce zenon_H15b zenon_H1c3 zenon_H119. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.25 apply (zenon_L895_); trivial. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.09/1.25 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.09/1.25 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.25 apply (zenon_L700_); trivial. % 1.09/1.25 apply (zenon_L887_); trivial. % 1.09/1.25 (* end of lemma zenon_L896_ *) % 1.09/1.25 assert (zenon_L897_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.09/1.25 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_H119 zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H157 zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.26 apply (zenon_L229_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.26 apply (zenon_L707_); trivial. % 1.09/1.26 apply (zenon_L887_); trivial. % 1.09/1.26 (* end of lemma zenon_L897_ *) % 1.09/1.26 assert (zenon_L898_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H138 zenon_H4e zenon_Hf9 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H157 zenon_H87 zenon_H216 zenon_Hce zenon_H119 zenon_Hf8. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.26 apply (zenon_L229_); trivial. % 1.09/1.26 apply (zenon_L885_); trivial. % 1.09/1.26 apply (zenon_L897_); trivial. % 1.09/1.26 (* end of lemma zenon_L898_ *) % 1.09/1.26 assert (zenon_L899_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H184 zenon_Hf8 zenon_H119 zenon_Hce zenon_H216 zenon_H87 zenon_H157 zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_Hac zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hf9 zenon_H4e zenon_H138. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_L898_); trivial. % 1.09/1.26 apply (zenon_L889_); trivial. % 1.09/1.26 (* end of lemma zenon_L899_ *) % 1.09/1.26 assert (zenon_L900_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_Hf3 zenon_H167 zenon_H85 zenon_H165 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H12 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H76 zenon_H75 zenon_H74 zenon_H105 zenon_H107 zenon_H26. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.26 apply (zenon_L414_); trivial. % 1.09/1.26 apply (zenon_L706_); trivial. % 1.09/1.26 apply (zenon_L106_); trivial. % 1.09/1.26 (* end of lemma zenon_L900_ *) % 1.09/1.26 assert (zenon_L901_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H116 zenon_Hac zenon_H1c3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H286 zenon_H287 zenon_H288 zenon_H216. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.26 apply (zenon_L515_); trivial. % 1.09/1.26 apply (zenon_L882_); trivial. % 1.09/1.26 (* end of lemma zenon_L901_ *) % 1.09/1.26 assert (zenon_L902_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.09/1.26 do 0 intro. intros zenon_Hf8 zenon_H119 zenon_Hac zenon_H1c3 zenon_H157 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H286 zenon_H287 zenon_H288 zenon_H216 zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.26 apply (zenon_L229_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.26 apply (zenon_L707_); trivial. % 1.09/1.26 apply (zenon_L901_); trivial. % 1.09/1.26 (* end of lemma zenon_L902_ *) % 1.09/1.26 assert (zenon_L903_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H17b zenon_H119 zenon_Hac zenon_H1c3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H286 zenon_H287 zenon_H288 zenon_H216 zenon_H107. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.26 apply (zenon_L83_); trivial. % 1.09/1.26 apply (zenon_L901_); trivial. % 1.09/1.26 (* end of lemma zenon_L903_ *) % 1.09/1.26 assert (zenon_L904_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> False). % 1.09/1.26 do 0 intro. intros zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hdc zenon_H2cf zenon_H12 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H286 zenon_H287 zenon_H288 zenon_H216. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.26 apply (zenon_L515_); trivial. % 1.09/1.26 apply (zenon_L737_); trivial. % 1.09/1.26 (* end of lemma zenon_L904_ *) % 1.09/1.26 assert (zenon_L905_ : ((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1fb zenon_H184 zenon_H119 zenon_H1c3 zenon_H107 zenon_H216 zenon_H288 zenon_H287 zenon_H286 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H157 zenon_Hac. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_L904_); trivial. % 1.09/1.26 apply (zenon_L903_); trivial. % 1.09/1.26 (* end of lemma zenon_L905_ *) % 1.09/1.26 assert (zenon_L906_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1f3 zenon_H1f9 zenon_Hf8 zenon_H119 zenon_Hac zenon_H1c3 zenon_H157 zenon_H286 zenon_H287 zenon_H288 zenon_H216 zenon_Hf zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H184. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_L902_); trivial. % 1.09/1.26 apply (zenon_L903_); trivial. % 1.09/1.26 apply (zenon_L905_); trivial. % 1.09/1.26 (* end of lemma zenon_L906_ *) % 1.09/1.26 assert (zenon_L907_ : ((ndr1_0)/\((c0_1 (a2285))/\((c1_1 (a2285))/\(~(c3_1 (a2285)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H27f zenon_H1f8 zenon_Hf8 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H119 zenon_Hce zenon_H216 zenon_H87 zenon_H157 zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_Hac zenon_H107 zenon_Hf9 zenon_H138 zenon_H184. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_L857_); trivial. % 1.09/1.26 apply (zenon_L889_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_L857_); trivial. % 1.09/1.26 apply (zenon_L903_); trivial. % 1.09/1.26 (* end of lemma zenon_L907_ *) % 1.09/1.26 assert (zenon_L908_ : ((ndr1_0)/\((c2_1 (a2282))/\((~(c0_1 (a2282)))/\(~(c3_1 (a2282)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2285))/\((c1_1 (a2285))/\(~(c3_1 (a2285))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H2d8 zenon_H2d9 zenon_H1fa zenon_Hf3 zenon_H167 zenon_H28f zenon_H1e7 zenon_H178 zenon_H184 zenon_Hf8 zenon_H119 zenon_Hce zenon_H216 zenon_H87 zenon_H157 zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_Hac zenon_Hf zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H236 zenon_Hf9 zenon_H138 zenon_Hf1 zenon_H1f9 zenon_H1f8. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H12. zenon_intro zenon_H2da. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H237. zenon_intro zenon_H2db. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H239. zenon_intro zenon_H238. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.09/1.26 apply (zenon_L899_); trivial. % 1.09/1.26 apply (zenon_L894_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.09/1.26 apply (zenon_L899_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.26 apply (zenon_L229_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.26 apply (zenon_L900_); trivial. % 1.09/1.26 apply (zenon_L884_); trivial. % 1.09/1.26 apply (zenon_L743_); trivial. % 1.09/1.26 apply (zenon_L779_); trivial. % 1.09/1.26 apply (zenon_L508_); trivial. % 1.09/1.26 apply (zenon_L906_); trivial. % 1.09/1.26 apply (zenon_L907_); trivial. % 1.09/1.26 (* end of lemma zenon_L908_ *) % 1.09/1.26 assert (zenon_L909_ : ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H2cf zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H12 zenon_Hdc. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H2d0 ]. % 1.09/1.26 apply (zenon_L518_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H14d | zenon_intro zenon_Hdd ]. % 1.09/1.26 apply (zenon_L691_); trivial. % 1.09/1.26 exact (zenon_Hdc zenon_Hdd). % 1.09/1.26 (* end of lemma zenon_L909_ *) % 1.09/1.26 assert (zenon_L910_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H119 zenon_H15b zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Hac zenon_H1c3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H85 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.26 apply (zenon_L83_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.26 apply (zenon_L528_); trivial. % 1.09/1.26 apply (zenon_L754_); trivial. % 1.09/1.26 apply (zenon_L708_); trivial. % 1.09/1.26 (* end of lemma zenon_L910_ *) % 1.09/1.26 assert (zenon_L911_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H3a zenon_Hac zenon_H1c3 zenon_H109 zenon_H10a zenon_H10b zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1 zenon_H2bc. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.26 apply (zenon_L528_); trivial. % 1.09/1.26 apply (zenon_L714_); trivial. % 1.09/1.26 (* end of lemma zenon_L911_ *) % 1.09/1.26 assert (zenon_L912_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H135 zenon_H119 zenon_H15b zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Hf9 zenon_H4e zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.26 apply (zenon_L83_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.26 apply (zenon_L911_); trivial. % 1.09/1.26 apply (zenon_L698_); trivial. % 1.09/1.26 (* end of lemma zenon_L912_ *) % 1.09/1.26 assert (zenon_L913_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H184 zenon_H138 zenon_Hf9 zenon_H4e zenon_H107 zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H157 zenon_H1c3 zenon_Hac zenon_H2bc zenon_H15b zenon_H119 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_L909_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.26 apply (zenon_L910_); trivial. % 1.09/1.26 apply (zenon_L912_); trivial. % 1.09/1.26 (* end of lemma zenon_L913_ *) % 1.09/1.26 assert (zenon_L914_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H184 zenon_H138 zenon_Hf1 zenon_Hef zenon_H107 zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H157 zenon_H1c3 zenon_Hac zenon_H2bc zenon_H15b zenon_H119 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_L909_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.26 apply (zenon_L910_); trivial. % 1.09/1.26 apply (zenon_L109_); trivial. % 1.09/1.26 (* end of lemma zenon_L914_ *) % 1.09/1.26 assert (zenon_L915_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_L909_); trivial. % 1.09/1.26 apply (zenon_L126_); trivial. % 1.09/1.26 (* end of lemma zenon_L915_ *) % 1.09/1.26 assert (zenon_L916_ : ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c2_1 (a2342))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c1_1 (a2315)) -> (c2_1 (a2315)) -> (c3_1 (a2315)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H157 zenon_H29 zenon_H2a zenon_H28 zenon_Hb1 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H12 zenon_H52 zenon_H14 zenon_H15 zenon_H16. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H143 | zenon_intro zenon_H158 ]. % 1.09/1.26 apply (zenon_L142_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14d | zenon_intro zenon_H99 ]. % 1.09/1.26 apply (zenon_L691_); trivial. % 1.09/1.26 apply (zenon_L868_); trivial. % 1.09/1.26 (* end of lemma zenon_L916_ *) % 1.09/1.26 assert (zenon_L917_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (c3_1 (a2315)) -> (c2_1 (a2315)) -> (c1_1 (a2315)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a2342))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2316)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H69 zenon_H16 zenon_H15 zenon_H14 zenon_H2be zenon_H2bf zenon_H2c0 zenon_Hb1 zenon_H28 zenon_H2a zenon_H29 zenon_H157 zenon_H5f zenon_H5e zenon_H5d zenon_H12 zenon_H66. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H52 | zenon_intro zenon_H6c ]. % 1.09/1.26 apply (zenon_L916_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H5c | zenon_intro zenon_H67 ]. % 1.09/1.26 apply (zenon_L29_); trivial. % 1.09/1.26 exact (zenon_H66 zenon_H67). % 1.09/1.26 (* end of lemma zenon_L917_ *) % 1.09/1.26 assert (zenon_L918_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H6d zenon_H119 zenon_H3a zenon_Hac zenon_H1c3 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H69 zenon_H66 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H216 zenon_H26 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.26 apply (zenon_L83_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.26 apply (zenon_L523_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.26 apply (zenon_L241_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 1.09/1.26 apply (zenon_L133_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 1.09/1.26 apply (zenon_L917_); trivial. % 1.09/1.26 exact (zenon_H81 zenon_H82). % 1.09/1.26 apply (zenon_L713_); trivial. % 1.09/1.26 (* end of lemma zenon_L918_ *) % 1.09/1.26 assert (zenon_L919_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (ndr1_0) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H183 zenon_Hf8 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H3a zenon_H36 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H107 zenon_H26 zenon_H216 zenon_H157 zenon_H69 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H246 zenon_H1c3 zenon_Hac zenon_H119 zenon_H71 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H12 zenon_H31 zenon_Ha8 zenon_H184. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.09/1.26 apply (zenon_L915_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_L909_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.26 apply (zenon_L525_); trivial. % 1.09/1.26 apply (zenon_L918_); trivial. % 1.09/1.26 apply (zenon_L524_); trivial. % 1.09/1.26 (* end of lemma zenon_L919_ *) % 1.09/1.26 assert (zenon_L920_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H119 zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.26 apply (zenon_L83_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.26 apply (zenon_L523_); trivial. % 1.09/1.26 apply (zenon_L754_); trivial. % 1.09/1.26 (* end of lemma zenon_L920_ *) % 1.09/1.26 assert (zenon_L921_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c2_1 (a2342))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (ndr1_0) -> (c1_1 (a2315)) -> (c2_1 (a2315)) -> (c3_1 (a2315)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1d6 zenon_H11c zenon_H11b zenon_H11a zenon_H3e zenon_H3d zenon_H3c zenon_H157 zenon_H29 zenon_H2a zenon_H28 zenon_Hb1 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.09/1.26 apply (zenon_L80_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.09/1.26 apply (zenon_L20_); trivial. % 1.09/1.26 apply (zenon_L916_); trivial. % 1.09/1.26 (* end of lemma zenon_L921_ *) % 1.09/1.26 assert (zenon_L922_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(c2_1 (a2342))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (c3_1 (a2327)) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp28)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H21 zenon_H216 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H28 zenon_H2a zenon_H29 zenon_H157 zenon_H3c zenon_H3d zenon_H3e zenon_H11a zenon_H11b zenon_H11c zenon_H1d6 zenon_H81. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 1.09/1.26 apply (zenon_L133_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 1.09/1.26 apply (zenon_L921_); trivial. % 1.09/1.26 exact (zenon_H81 zenon_H82). % 1.09/1.26 (* end of lemma zenon_L922_ *) % 1.09/1.26 assert (zenon_L923_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H35 zenon_Hac zenon_H1c3 zenon_H109 zenon_H10a zenon_H10b zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1d6 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H3e zenon_H3d zenon_H3c zenon_H11c zenon_H11b zenon_H11a zenon_H216 zenon_H26. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.26 apply (zenon_L241_); trivial. % 1.09/1.26 apply (zenon_L922_); trivial. % 1.09/1.26 apply (zenon_L713_); trivial. % 1.09/1.26 (* end of lemma zenon_L923_ *) % 1.09/1.26 assert (zenon_L924_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H195 zenon_H183 zenon_H184 zenon_H138 zenon_H246 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1d6 zenon_H216 zenon_H26 zenon_H107 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_Hac zenon_H1c3 zenon_H157 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H119 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H45 zenon_H47 zenon_H72. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.09/1.26 apply (zenon_L520_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_L909_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.26 apply (zenon_L920_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.26 apply (zenon_L83_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.09/1.26 apply (zenon_L519_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.26 apply (zenon_L523_); trivial. % 1.09/1.26 apply (zenon_L923_); trivial. % 1.09/1.26 (* end of lemma zenon_L924_ *) % 1.09/1.26 assert (zenon_L925_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H218 zenon_H234 zenon_H184 zenon_H138 zenon_Hf9 zenon_H107 zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H157 zenon_H1c3 zenon_Hac zenon_H2bc zenon_H15b zenon_H119 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_Hf1 zenon_H183 zenon_Hf8 zenon_H6e zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H36 zenon_H2ba zenon_H26 zenon_H216 zenon_H69 zenon_H246 zenon_H71 zenon_Ha8 zenon_H72 zenon_H47 zenon_H45 zenon_H1ee zenon_H1d6 zenon_H198 zenon_H1fa zenon_H1f8. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.09/1.26 apply (zenon_L913_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.09/1.26 apply (zenon_L914_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.09/1.26 apply (zenon_L919_); trivial. % 1.09/1.26 apply (zenon_L924_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.09/1.26 apply (zenon_L913_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.09/1.26 apply (zenon_L914_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.09/1.26 apply (zenon_L345_); trivial. % 1.09/1.26 apply (zenon_L924_); trivial. % 1.09/1.26 (* end of lemma zenon_L925_ *) % 1.09/1.26 assert (zenon_L926_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(c0_1 (a2286))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H184 zenon_H119 zenon_H15b zenon_H2bc zenon_H270 zenon_H179 zenon_H202 zenon_H201 zenon_H271 zenon_H157 zenon_H1c3 zenon_Hac zenon_H3a zenon_H107 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_L909_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.26 apply (zenon_L83_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.26 apply (zenon_L528_); trivial. % 1.09/1.26 apply (zenon_L818_); trivial. % 1.09/1.26 apply (zenon_L814_); trivial. % 1.09/1.26 (* end of lemma zenon_L926_ *) % 1.09/1.26 assert (zenon_L927_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H35 zenon_Hce zenon_H123 zenon_H124 zenon_H125 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H10b zenon_H10a zenon_H109 zenon_H1c3 zenon_Hac. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.09/1.26 apply (zenon_L753_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.26 apply (zenon_L196_); trivial. % 1.09/1.26 apply (zenon_L713_); trivial. % 1.09/1.26 (* end of lemma zenon_L927_ *) % 1.09/1.26 assert (zenon_L928_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c3_1 (a2337)) -> (c0_1 (a2337)) -> (~(c1_1 (a2337))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> False). % 1.09/1.26 do 0 intro. intros zenon_Hc9 zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H146 zenon_H145 zenon_H144 zenon_H1c3 zenon_H123 zenon_H124 zenon_H125 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H10b zenon_H10a zenon_H109 zenon_H216. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.26 apply (zenon_L196_); trivial. % 1.09/1.26 apply (zenon_L692_); trivial. % 1.09/1.26 (* end of lemma zenon_L928_ *) % 1.09/1.26 assert (zenon_L929_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H15c zenon_Hce zenon_H1c3 zenon_H123 zenon_H124 zenon_H125 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H10b zenon_H10a zenon_H109 zenon_H216 zenon_H87 zenon_H85 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hac. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.09/1.26 apply (zenon_L693_); trivial. % 1.09/1.26 apply (zenon_L928_); trivial. % 1.09/1.26 (* end of lemma zenon_L929_ *) % 1.09/1.26 assert (zenon_L930_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H119 zenon_H15b zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Hac zenon_H1c3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H85 zenon_H87 zenon_H216 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_Hce zenon_H3a zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.26 apply (zenon_L83_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.26 apply (zenon_L528_); trivial. % 1.09/1.26 apply (zenon_L927_); trivial. % 1.09/1.26 apply (zenon_L929_); trivial. % 1.09/1.26 (* end of lemma zenon_L930_ *) % 1.09/1.26 assert (zenon_L931_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H6d zenon_H26 zenon_H69 zenon_H66 zenon_H16a zenon_H16b zenon_H16c zenon_H112 zenon_H1e5 zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.26 apply (zenon_L241_); trivial. % 1.09/1.26 apply (zenon_L258_); trivial. % 1.09/1.26 (* end of lemma zenon_L931_ *) % 1.09/1.26 assert (zenon_L932_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H71 zenon_H26 zenon_H69 zenon_H66 zenon_H16a zenon_H16b zenon_H16c zenon_H112 zenon_H1e5 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H3a zenon_Hce zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H15b zenon_H119. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.26 apply (zenon_L930_); trivial. % 1.09/1.26 apply (zenon_L931_); trivial. % 1.09/1.26 (* end of lemma zenon_L932_ *) % 1.09/1.26 assert (zenon_L933_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c3_1 (a2315)) -> (c2_1 (a2315)) -> (c1_1 (a2315)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(c1_1 (a2337))) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp3)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(c3_1 (a2316))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (ndr1_0) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1e7 zenon_H16 zenon_H15 zenon_H14 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H144 zenon_H145 zenon_H146 zenon_H157 zenon_H112 zenon_H1d9 zenon_H1da zenon_H5e zenon_He3 zenon_H5d zenon_H5f zenon_H1e5 zenon_H12 zenon_H16a zenon_H16b zenon_H16c. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 1.09/1.26 apply (zenon_L869_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 1.09/1.26 apply (zenon_L157_); trivial. % 1.09/1.26 apply (zenon_L110_); trivial. % 1.09/1.26 (* end of lemma zenon_L933_ *) % 1.09/1.26 assert (zenon_L934_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H15c zenon_H26 zenon_Hf1 zenon_Hef zenon_H9 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1e5 zenon_H112 zenon_H1da zenon_H1d9 zenon_H5f zenon_H5d zenon_H5e zenon_H16a zenon_H16b zenon_H16c zenon_H1e7 zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.26 apply (zenon_L241_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He3 | zenon_intro zenon_Hf2 ]. % 1.09/1.26 apply (zenon_L933_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Ha | zenon_intro zenon_Hf0 ]. % 1.09/1.26 exact (zenon_H9 zenon_Ha). % 1.09/1.26 exact (zenon_Hef zenon_Hf0). % 1.09/1.26 (* end of lemma zenon_L934_ *) % 1.09/1.26 assert (zenon_L935_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H6d zenon_H15b zenon_H26 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1e7 zenon_H16a zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H74 zenon_H75 zenon_H76 zenon_H16b zenon_H16c zenon_H242 zenon_H9 zenon_Hef zenon_Hf1 zenon_H3a. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.26 apply (zenon_L528_); trivial. % 1.09/1.26 apply (zenon_L332_); trivial. % 1.09/1.26 apply (zenon_L934_); trivial. % 1.09/1.26 (* end of lemma zenon_L935_ *) % 1.09/1.26 assert (zenon_L936_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H180 zenon_H184 zenon_H178 zenon_H26 zenon_H69 zenon_H112 zenon_H1e5 zenon_H246 zenon_H242 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H3a zenon_Hce zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H87 zenon_H157 zenon_H1c3 zenon_Hac zenon_H2bc zenon_H15b zenon_H119 zenon_H4e zenon_Hf9 zenon_H138 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.26 apply (zenon_L909_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.26 apply (zenon_L930_); trivial. % 1.09/1.26 apply (zenon_L199_); trivial. % 1.09/1.26 apply (zenon_L912_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.26 apply (zenon_L932_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.26 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.26 apply (zenon_L930_); trivial. % 1.09/1.26 apply (zenon_L935_); trivial. % 1.09/1.26 apply (zenon_L109_); trivial. % 1.09/1.26 (* end of lemma zenon_L936_ *) % 1.09/1.26 assert (zenon_L937_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (ndr1_0) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H183 zenon_H178 zenon_H26 zenon_H69 zenon_H112 zenon_H1e5 zenon_H246 zenon_H242 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H3a zenon_Hce zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H87 zenon_H157 zenon_H1c3 zenon_Hac zenon_H2bc zenon_H15b zenon_H119 zenon_H4e zenon_Hf9 zenon_H138 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H12 zenon_H31 zenon_Ha8 zenon_H184. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.09/1.26 apply (zenon_L915_); trivial. % 1.09/1.26 apply (zenon_L936_); trivial. % 1.09/1.26 (* end of lemma zenon_L937_ *) % 1.09/1.26 assert (zenon_L938_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H195 zenon_H183 zenon_H184 zenon_H178 zenon_H26 zenon_H69 zenon_H112 zenon_H1e5 zenon_H246 zenon_H242 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H3a zenon_Hce zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H87 zenon_H157 zenon_H1c3 zenon_Hac zenon_H2bc zenon_H15b zenon_H119 zenon_H4e zenon_Hf9 zenon_H138 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H45 zenon_H47 zenon_H72. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.09/1.26 apply (zenon_L520_); trivial. % 1.09/1.26 apply (zenon_L936_); trivial. % 1.09/1.26 (* end of lemma zenon_L938_ *) % 1.09/1.26 assert (zenon_L939_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H119 zenon_H3a zenon_Hce zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.26 apply (zenon_L83_); trivial. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.26 apply (zenon_L523_); trivial. % 1.09/1.26 apply (zenon_L927_); trivial. % 1.09/1.26 (* end of lemma zenon_L939_ *) % 1.09/1.26 assert (zenon_L940_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp16)) -> (~(hskp21)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c2_1 (a2342))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (ndr1_0) -> (c1_1 (a2315)) -> (c2_1 (a2315)) -> (c3_1 (a2315)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H1d6 zenon_H85 zenon_H7d zenon_H5e zenon_H5d zenon_H5f zenon_Hed zenon_H3e zenon_H3d zenon_H3c zenon_H157 zenon_H29 zenon_H2a zenon_H28 zenon_Hb1 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.09/1.26 apply (zenon_L61_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.09/1.26 apply (zenon_L20_); trivial. % 1.09/1.26 apply (zenon_L916_); trivial. % 1.09/1.26 (* end of lemma zenon_L940_ *) % 1.09/1.26 assert (zenon_L941_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(c0_1 (a2345))) -> (~(c1_1 (a2345))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(c2_1 (a2342))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (c3_1 (a2327)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(hskp21)) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp28)) -> False). % 1.09/1.26 do 0 intro. intros zenon_H21 zenon_H216 zenon_H109 zenon_H10a zenon_H10b zenon_Hc0 zenon_Hc1 zenon_H1c3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H28 zenon_H2a zenon_H29 zenon_H157 zenon_H3c zenon_H3d zenon_H3e zenon_Hed zenon_H5f zenon_H5d zenon_H5e zenon_H7d zenon_H85 zenon_H1d6 zenon_H81. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.09/1.26 apply (zenon_L171_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.09/1.26 apply (zenon_L75_); trivial. % 1.09/1.26 apply (zenon_L940_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 1.09/1.26 apply (zenon_L940_); trivial. % 1.09/1.26 exact (zenon_H81 zenon_H82). % 1.09/1.26 (* end of lemma zenon_L941_ *) % 1.09/1.26 assert (zenon_L942_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp16)) -> (~(hskp21)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2337)) -> (c0_1 (a2337)) -> (~(c1_1 (a2337))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H21 zenon_H1d6 zenon_H85 zenon_H7d zenon_H5e zenon_H5d zenon_H5f zenon_Hed zenon_H3e zenon_H3d zenon_H3c zenon_H157 zenon_H146 zenon_H145 zenon_H144 zenon_H2c0 zenon_H2bf zenon_H2be. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.09/1.26 apply (zenon_L61_); trivial. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.09/1.26 apply (zenon_L20_); trivial. % 1.09/1.26 apply (zenon_L869_); trivial. % 1.09/1.26 (* end of lemma zenon_L942_ *) % 1.09/1.26 assert (zenon_L943_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (~(hskp21)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> False). % 1.09/1.26 do 0 intro. intros zenon_H15c zenon_H26 zenon_H1d6 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H3e zenon_H3d zenon_H3c zenon_H5e zenon_H5d zenon_H5f zenon_H7d zenon_H85 zenon_Hed zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.09/1.26 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.09/1.26 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.26 apply (zenon_L241_); trivial. % 1.09/1.26 apply (zenon_L942_); trivial. % 1.09/1.26 (* end of lemma zenon_L943_ *) % 1.09/1.26 assert (zenon_L944_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H138 zenon_Hf9 zenon_H4e zenon_H119 zenon_H3a zenon_Hce zenon_H201 zenon_H202 zenon_H20d zenon_H216 zenon_H87 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H72 zenon_H15b zenon_H2bc zenon_H26 zenon_H1d6 zenon_Hed zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H13a zenon_H13b zenon_H13c zenon_H1ee zenon_H165 zenon_H167 zenon_Hf3 zenon_H71. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.27 apply (zenon_L939_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.27 apply (zenon_L83_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.27 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.09/1.27 apply (zenon_L519_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.27 apply (zenon_L528_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.09/1.27 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.09/1.27 apply (zenon_L753_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.09/1.27 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.09/1.27 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.09/1.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.27 apply (zenon_L241_); trivial. % 1.09/1.27 apply (zenon_L941_); trivial. % 1.09/1.27 apply (zenon_L713_); trivial. % 1.09/1.27 apply (zenon_L943_); trivial. % 1.09/1.27 apply (zenon_L106_); trivial. % 1.09/1.27 apply (zenon_L912_); trivial. % 1.09/1.27 (* end of lemma zenon_L944_ *) % 1.09/1.27 assert (zenon_L945_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H35 zenon_Hac zenon_H1c3 zenon_H109 zenon_H10a zenon_H10b zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H125 zenon_H124 zenon_H123 zenon_H216. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.09/1.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.27 apply (zenon_L599_); trivial. % 1.09/1.27 apply (zenon_L713_); trivial. % 1.09/1.27 (* end of lemma zenon_L945_ *) % 1.09/1.27 assert (zenon_L946_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.09/1.27 do 0 intro. intros zenon_H119 zenon_H15b zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H216 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H3a zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.27 apply (zenon_L83_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.27 apply (zenon_L528_); trivial. % 1.09/1.27 apply (zenon_L945_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.09/1.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.27 apply (zenon_L599_); trivial. % 1.09/1.27 apply (zenon_L692_); trivial. % 1.09/1.27 (* end of lemma zenon_L946_ *) % 1.09/1.27 assert (zenon_L947_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H71 zenon_H26 zenon_H69 zenon_H66 zenon_H16a zenon_H16b zenon_H16c zenon_H112 zenon_H1e5 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H3a zenon_Hac zenon_H1c3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H15b zenon_H119. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.27 apply (zenon_L946_); trivial. % 1.09/1.27 apply (zenon_L931_); trivial. % 1.09/1.27 (* end of lemma zenon_L947_ *) % 1.09/1.27 assert (zenon_L948_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H180 zenon_H184 zenon_H178 zenon_Hf8 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H242 zenon_H246 zenon_H1e5 zenon_H112 zenon_H69 zenon_H26 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H3a zenon_Hac zenon_H1c3 zenon_H157 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H2bc zenon_H15b zenon_H119 zenon_H138 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.27 apply (zenon_L909_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.27 apply (zenon_L946_); trivial. % 1.09/1.27 apply (zenon_L199_); trivial. % 1.09/1.27 apply (zenon_L109_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.09/1.27 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.27 apply (zenon_L947_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.27 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.27 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.27 apply (zenon_L946_); trivial. % 1.09/1.27 apply (zenon_L935_); trivial. % 1.09/1.27 (* end of lemma zenon_L948_ *) % 1.09/1.27 assert (zenon_L949_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (ndr1_0) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H183 zenon_H178 zenon_Hf8 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H242 zenon_H246 zenon_H1e5 zenon_H112 zenon_H69 zenon_H26 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H3a zenon_Hac zenon_H1c3 zenon_H157 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H2bc zenon_H15b zenon_H119 zenon_H138 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H12 zenon_H31 zenon_Ha8 zenon_H184. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.09/1.27 apply (zenon_L915_); trivial. % 1.09/1.27 apply (zenon_L948_); trivial. % 1.09/1.27 (* end of lemma zenon_L949_ *) % 1.09/1.27 assert (zenon_L950_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.09/1.27 do 0 intro. intros zenon_H119 zenon_H3a zenon_Hac zenon_H1c3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H216 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.27 apply (zenon_L83_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.27 apply (zenon_L523_); trivial. % 1.09/1.27 apply (zenon_L945_); trivial. % 1.09/1.27 (* end of lemma zenon_L950_ *) % 1.09/1.27 assert (zenon_L951_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(c2_1 (a2342))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (c3_1 (a2327)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(hskp21)) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp28)) -> False). % 1.09/1.27 do 0 intro. intros zenon_H21 zenon_H216 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H28 zenon_H2a zenon_H29 zenon_H157 zenon_H3c zenon_H3d zenon_H3e zenon_Hed zenon_H5f zenon_H5d zenon_H5e zenon_H7d zenon_H85 zenon_H1d6 zenon_H81. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 1.09/1.27 apply (zenon_L133_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 1.09/1.27 apply (zenon_L940_); trivial. % 1.09/1.27 exact (zenon_H81 zenon_H82). % 1.09/1.27 (* end of lemma zenon_L951_ *) % 1.09/1.27 assert (zenon_L952_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (~(hskp21)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H49 zenon_H15b zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H26 zenon_H216 zenon_Hed zenon_H85 zenon_H7d zenon_H5f zenon_H5d zenon_H5e zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1d6 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H10b zenon_H10a zenon_H109 zenon_H1c3 zenon_Hac zenon_H3a. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.27 apply (zenon_L528_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.09/1.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.27 apply (zenon_L241_); trivial. % 1.09/1.27 apply (zenon_L951_); trivial. % 1.09/1.27 apply (zenon_L713_); trivial. % 1.09/1.27 apply (zenon_L943_); trivial. % 1.09/1.27 (* end of lemma zenon_L952_ *) % 1.09/1.27 assert (zenon_L953_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.09/1.27 do 0 intro. intros zenon_H6d zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H3a zenon_Hac zenon_H1c3 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1d6 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H85 zenon_Hed zenon_H216 zenon_H26 zenon_H2bc zenon_H15b zenon_H72 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.27 apply (zenon_L83_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.27 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.09/1.27 apply (zenon_L519_); trivial. % 1.09/1.27 apply (zenon_L952_); trivial. % 1.09/1.27 apply (zenon_L106_); trivial. % 1.09/1.27 (* end of lemma zenon_L953_ *) % 1.09/1.27 assert (zenon_L954_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H71 zenon_Hf3 zenon_H167 zenon_H165 zenon_H1ee zenon_H13c zenon_H13b zenon_H13a zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H1d6 zenon_H85 zenon_Hed zenon_H26 zenon_H2bc zenon_H15b zenon_H72 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H3a zenon_H119. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.27 apply (zenon_L950_); trivial. % 1.09/1.27 apply (zenon_L953_); trivial. % 1.09/1.27 (* end of lemma zenon_L954_ *) % 1.09/1.27 assert (zenon_L955_ : ((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2337)) -> (c0_1 (a2337)) -> (~(c1_1 (a2337))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (~(hskp3)) -> False). % 1.09/1.27 do 0 intro. intros zenon_H21 zenon_H1d6 zenon_H5f zenon_H5d zenon_H5e zenon_H1da zenon_H1d9 zenon_H157 zenon_H146 zenon_H145 zenon_H144 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1e7 zenon_H3e zenon_H3d zenon_H3c zenon_H1e5 zenon_H16c zenon_H16b zenon_H16a zenon_H112. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.09/1.27 apply (zenon_L933_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.09/1.27 apply (zenon_L20_); trivial. % 1.09/1.27 apply (zenon_L257_); trivial. % 1.09/1.27 (* end of lemma zenon_L955_ *) % 1.09/1.27 assert (zenon_L956_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H15c zenon_H26 zenon_H1d6 zenon_H3e zenon_H3d zenon_H3c zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1e5 zenon_H112 zenon_H1da zenon_H1d9 zenon_H5f zenon_H5d zenon_H5e zenon_H16a zenon_H16b zenon_H16c zenon_H1e7 zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.27 apply (zenon_L241_); trivial. % 1.09/1.27 apply (zenon_L955_); trivial. % 1.09/1.27 (* end of lemma zenon_L956_ *) % 1.09/1.27 assert (zenon_L957_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H49 zenon_H15b zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H26 zenon_H216 zenon_H1e7 zenon_H16a zenon_H5e zenon_H5d zenon_H5f zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H74 zenon_H75 zenon_H76 zenon_H16b zenon_H16c zenon_H242 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1d6 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H123 zenon_H124 zenon_H125 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H10b zenon_H10a zenon_H109 zenon_H1c3 zenon_Hac zenon_H3a. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.09/1.27 apply (zenon_L528_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.09/1.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.09/1.27 apply (zenon_L241_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 1.09/1.27 apply (zenon_L133_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.09/1.27 apply (zenon_L331_); trivial. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.09/1.27 apply (zenon_L20_); trivial. % 1.09/1.27 apply (zenon_L916_); trivial. % 1.09/1.27 exact (zenon_H81 zenon_H82). % 1.09/1.27 apply (zenon_L713_); trivial. % 1.09/1.27 apply (zenon_L956_); trivial. % 1.09/1.27 (* end of lemma zenon_L957_ *) % 1.09/1.27 assert (zenon_L958_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H72 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H242 zenon_H1d6 zenon_H13a zenon_H13b zenon_H13c zenon_H1ee zenon_H119 zenon_H15b zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H1e5 zenon_H112 zenon_H69 zenon_H26 zenon_H71. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.09/1.27 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.27 apply (zenon_L947_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.27 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.27 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.27 apply (zenon_L946_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.09/1.27 apply (zenon_L83_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.09/1.27 apply (zenon_L519_); trivial. % 1.09/1.27 apply (zenon_L957_); trivial. % 1.09/1.27 (* end of lemma zenon_L958_ *) % 1.09/1.27 assert (zenon_L959_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(c1_1 (a2287))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_H1f3 zenon_H1fa zenon_H1d6 zenon_H2ba zenon_H1d5 zenon_H1c7 zenon_H6e zenon_H21c zenon_H234 zenon_H183 zenon_H178 zenon_Hf8 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H242 zenon_H246 zenon_H1e5 zenon_H112 zenon_H69 zenon_H26 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H9 zenon_Hf1 zenon_H107 zenon_H3a zenon_Hac zenon_H1c3 zenon_H157 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H2bc zenon_H15b zenon_H119 zenon_H138 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Ha8 zenon_H184 zenon_H72 zenon_H47 zenon_H45 zenon_H1ee zenon_H198. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.09/1.27 apply (zenon_L949_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.09/1.27 apply (zenon_L520_); trivial. % 1.09/1.27 apply (zenon_L948_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.09/1.27 apply (zenon_L345_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.09/1.27 apply (zenon_L520_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.09/1.27 apply (zenon_L909_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.09/1.27 apply (zenon_L954_); trivial. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.09/1.27 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.09/1.27 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.09/1.27 apply (zenon_L946_); trivial. % 1.09/1.27 apply (zenon_L918_); trivial. % 1.09/1.27 apply (zenon_L553_); trivial. % 1.09/1.27 apply (zenon_L958_); trivial. % 1.09/1.27 (* end of lemma zenon_L959_ *) % 1.09/1.27 assert (zenon_L960_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.09/1.27 do 0 intro. intros zenon_Hf4 zenon_H15b zenon_H21d zenon_H21e zenon_H21f zenon_H112 zenon_H1e5 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H125 zenon_H124 zenon_H123 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H26 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H266 zenon_H179 zenon_H16b zenon_H16c zenon_H242 zenon_H1d5 zenon_H3a. % 1.09/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.09/1.27 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.09/1.27 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.09/1.27 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.09/1.27 apply (zenon_L589_); trivial. % 1.09/1.27 apply (zenon_L870_); trivial. % 1.09/1.27 (* end of lemma zenon_L960_ *) % 1.09/1.27 assert (zenon_L961_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H179 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.27 apply (zenon_L909_); trivial. % 1.14/1.27 apply (zenon_L116_); trivial. % 1.14/1.27 (* end of lemma zenon_L961_ *) % 1.14/1.27 assert (zenon_L962_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H198 zenon_H17c zenon_H184 zenon_Ha8 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H138 zenon_H72 zenon_H26 zenon_H1d6 zenon_H112 zenon_H1e5 zenon_H246 zenon_H22e zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H266 zenon_H242 zenon_H1d5 zenon_H15b zenon_Hce zenon_H2d3 zenon_H161 zenon_H179 zenon_H87 zenon_H157 zenon_Hac zenon_H2bc zenon_H36 zenon_H3a zenon_H69 zenon_H71 zenon_H178 zenon_H183. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.27 apply (zenon_L915_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.27 apply (zenon_L909_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.27 apply (zenon_L410_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.14/1.27 apply (zenon_L570_); trivial. % 1.14/1.27 apply (zenon_L750_); trivial. % 1.14/1.27 apply (zenon_L867_); trivial. % 1.14/1.27 apply (zenon_L960_); trivial. % 1.14/1.27 apply (zenon_L409_); trivial. % 1.14/1.27 apply (zenon_L961_); trivial. % 1.14/1.27 (* end of lemma zenon_L962_ *) % 1.14/1.27 assert (zenon_L963_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H17b zenon_H178 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_Hf3 zenon_H167 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H22e zenon_H12e zenon_H12d zenon_H12c zenon_H246 zenon_H1e5 zenon_H112 zenon_H1d6 zenon_H26 zenon_H72 zenon_H138. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.27 apply (zenon_L410_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.14/1.27 apply (zenon_L241_); trivial. % 1.14/1.27 apply (zenon_L406_); trivial. % 1.14/1.27 (* end of lemma zenon_L963_ *) % 1.14/1.27 assert (zenon_L964_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H180 zenon_H184 zenon_H178 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_Hf3 zenon_H167 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H22e zenon_H246 zenon_H1e5 zenon_H112 zenon_H1d6 zenon_H26 zenon_H72 zenon_H138 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.27 apply (zenon_L909_); trivial. % 1.14/1.27 apply (zenon_L963_); trivial. % 1.14/1.27 (* end of lemma zenon_L964_ *) % 1.14/1.27 assert (zenon_L965_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (ndr1_0) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H183 zenon_H178 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_Hf3 zenon_H167 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H22e zenon_H246 zenon_H1e5 zenon_H112 zenon_H1d6 zenon_H26 zenon_H72 zenon_H138 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H12 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.27 apply (zenon_L915_); trivial. % 1.14/1.27 apply (zenon_L964_); trivial. % 1.14/1.27 (* end of lemma zenon_L965_ *) % 1.14/1.27 assert (zenon_L966_ : ((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H219 zenon_H198 zenon_H1ee zenon_H45 zenon_H47 zenon_H184 zenon_Ha8 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H138 zenon_H72 zenon_H26 zenon_H1d6 zenon_H112 zenon_H1e5 zenon_H246 zenon_H22e zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H167 zenon_Hf3 zenon_H1e7 zenon_H178 zenon_H183. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.27 apply (zenon_L965_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.27 apply (zenon_L520_); trivial. % 1.14/1.27 apply (zenon_L964_); trivial. % 1.14/1.27 (* end of lemma zenon_L966_ *) % 1.14/1.27 assert (zenon_L967_ : ((ndr1_0)/\((c0_1 (a2285))/\((c1_1 (a2285))/\(~(c3_1 (a2285)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a2286))/\((~(c0_1 (a2286)))/\(~(c2_1 (a2286))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H27f zenon_H280 zenon_H107 zenon_H1c3 zenon_H270 zenon_H119 zenon_H198 zenon_H17c zenon_H184 zenon_Ha8 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H138 zenon_H72 zenon_H26 zenon_H1d6 zenon_H112 zenon_H1e5 zenon_H246 zenon_H22e zenon_Hed zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H266 zenon_H242 zenon_H1d5 zenon_H15b zenon_Hce zenon_H2d3 zenon_H87 zenon_H157 zenon_Hac zenon_H2bc zenon_H36 zenon_H3a zenon_H69 zenon_H71 zenon_H178 zenon_H183 zenon_H1e7 zenon_H47 zenon_H45 zenon_H1ee zenon_H218. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.14/1.27 apply (zenon_L962_); trivial. % 1.14/1.27 apply (zenon_L966_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.14/1.27 apply (zenon_L926_); trivial. % 1.14/1.27 apply (zenon_L966_); trivial. % 1.14/1.27 (* end of lemma zenon_L967_ *) % 1.14/1.27 assert (zenon_L968_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (c3_1 (a2327)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H15c zenon_H26 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H11a zenon_H11b zenon_H11c zenon_H3c zenon_H3d zenon_H3e zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1d6. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.14/1.27 apply (zenon_L400_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.14/1.27 apply (zenon_L80_); trivial. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.14/1.27 apply (zenon_L20_); trivial. % 1.14/1.27 apply (zenon_L869_); trivial. % 1.14/1.27 (* end of lemma zenon_L968_ *) % 1.14/1.27 assert (zenon_L969_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H49 zenon_H15b zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H26 zenon_H216 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H11a zenon_H11b zenon_H11c zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1d6 zenon_H10b zenon_H10a zenon_H109 zenon_H1c3 zenon_Hac zenon_H3a. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.27 apply (zenon_L528_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.14/1.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.14/1.27 apply (zenon_L400_); trivial. % 1.14/1.27 apply (zenon_L922_); trivial. % 1.14/1.27 apply (zenon_L713_); trivial. % 1.14/1.27 apply (zenon_L968_); trivial. % 1.14/1.27 (* end of lemma zenon_L969_ *) % 1.14/1.27 assert (zenon_L970_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.14/1.27 do 0 intro. intros zenon_H135 zenon_H119 zenon_H72 zenon_H15b zenon_H2bc zenon_H26 zenon_H216 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H1c3 zenon_Hac zenon_H3a zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.27 apply (zenon_L83_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.27 apply (zenon_L519_); trivial. % 1.14/1.27 apply (zenon_L969_); trivial. % 1.14/1.27 (* end of lemma zenon_L970_ *) % 1.14/1.27 assert (zenon_L971_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H195 zenon_H184 zenon_H138 zenon_H72 zenon_H15b zenon_H2bc zenon_H26 zenon_H216 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H1ee zenon_H107 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_Hac zenon_H1c3 zenon_H157 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H119 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.27 apply (zenon_L909_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.27 apply (zenon_L920_); trivial. % 1.14/1.27 apply (zenon_L970_); trivial. % 1.14/1.27 (* end of lemma zenon_L971_ *) % 1.14/1.27 assert (zenon_L972_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H49 zenon_H15b zenon_H26 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1d6 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Hf9 zenon_H4e zenon_H11c zenon_H11b zenon_H11a zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H10b zenon_H10a zenon_H109 zenon_H1c3 zenon_Hac zenon_H3a. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.14/1.27 apply (zenon_L911_); trivial. % 1.14/1.27 apply (zenon_L968_); trivial. % 1.14/1.27 (* end of lemma zenon_L972_ *) % 1.14/1.27 assert (zenon_L973_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.14/1.27 do 0 intro. intros zenon_H135 zenon_H119 zenon_H72 zenon_H15b zenon_H26 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H2bc zenon_Hf9 zenon_H4e zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H3a zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.27 apply (zenon_L83_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.27 apply (zenon_L519_); trivial. % 1.14/1.27 apply (zenon_L972_); trivial. % 1.14/1.27 (* end of lemma zenon_L973_ *) % 1.14/1.27 assert (zenon_L974_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H195 zenon_H184 zenon_H138 zenon_H72 zenon_H26 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_Hf9 zenon_H4e zenon_H1ee zenon_H107 zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H157 zenon_H1c3 zenon_Hac zenon_H2bc zenon_H15b zenon_H119 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.27 apply (zenon_L909_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.27 apply (zenon_L910_); trivial. % 1.14/1.27 apply (zenon_L973_); trivial. % 1.14/1.27 (* end of lemma zenon_L974_ *) % 1.14/1.27 assert (zenon_L975_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H218 zenon_H234 zenon_H184 zenon_H138 zenon_Hf9 zenon_H107 zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H157 zenon_H1c3 zenon_Hac zenon_H2bc zenon_H15b zenon_H119 zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_Hf1 zenon_H183 zenon_Hf8 zenon_H6e zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H36 zenon_H2ba zenon_H26 zenon_H216 zenon_H69 zenon_H246 zenon_H71 zenon_Ha8 zenon_H1ee zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H72 zenon_H198 zenon_H1fa zenon_H1f8. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.14/1.27 apply (zenon_L913_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.14/1.27 apply (zenon_L914_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.27 apply (zenon_L919_); trivial. % 1.14/1.27 apply (zenon_L971_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.14/1.27 apply (zenon_L914_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.27 apply (zenon_L345_); trivial. % 1.14/1.27 apply (zenon_L974_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.14/1.27 apply (zenon_L914_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.27 apply (zenon_L345_); trivial. % 1.14/1.27 apply (zenon_L971_); trivial. % 1.14/1.27 (* end of lemma zenon_L975_ *) % 1.14/1.27 assert (zenon_L976_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp16)) -> (~(hskp21)) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (ndr1_0) -> (~(hskp30)) -> False). % 1.14/1.27 do 0 intro. intros zenon_H1d6 zenon_H85 zenon_H7d zenon_H5e zenon_H5d zenon_H5f zenon_Hed zenon_H3e zenon_H3d zenon_H3c zenon_H246 zenon_H125 zenon_H124 zenon_H123 zenon_H238 zenon_H237 zenon_H239 zenon_H12 zenon_Hd. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.14/1.27 apply (zenon_L61_); trivial. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.14/1.27 apply (zenon_L20_); trivial. % 1.14/1.27 apply (zenon_L252_); trivial. % 1.14/1.27 (* end of lemma zenon_L976_ *) % 1.14/1.27 assert (zenon_L977_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (~(hskp21)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (ndr1_0) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(hskp24)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H3a zenon_Hce zenon_H1d6 zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H3e zenon_H3d zenon_H3c zenon_H5e zenon_H5d zenon_H5f zenon_H7d zenon_Hed zenon_H216 zenon_H26 zenon_H87 zenon_H85 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H10b zenon_H10a zenon_H109 zenon_H1c3 zenon_Hac zenon_H12 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1 zenon_H2bc. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.27 apply (zenon_L528_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.14/1.27 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.14/1.27 apply (zenon_L753_); trivial. % 1.14/1.27 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.14/1.27 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.14/1.27 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.14/1.27 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.14/1.27 apply (zenon_L976_); trivial. % 1.14/1.27 apply (zenon_L941_); trivial. % 1.14/1.27 apply (zenon_L713_); trivial. % 1.14/1.27 (* end of lemma zenon_L977_ *) % 1.14/1.27 assert (zenon_L978_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (~(hskp21)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (c3_1 (a2327)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> False). % 1.14/1.27 do 0 intro. intros zenon_H15c zenon_H26 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_Hed zenon_H85 zenon_H7d zenon_H5f zenon_H5d zenon_H5e zenon_H3c zenon_H3d zenon_H3e zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1d6. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.14/1.27 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.14/1.27 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.14/1.27 apply (zenon_L976_); trivial. % 1.14/1.28 apply (zenon_L942_); trivial. % 1.14/1.28 (* end of lemma zenon_L978_ *) % 1.14/1.28 assert (zenon_L979_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H6d zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H3a zenon_Hce zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_Hed zenon_H216 zenon_H26 zenon_H87 zenon_H85 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1c3 zenon_Hac zenon_H2bc zenon_H15b zenon_H72 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.28 apply (zenon_L83_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.28 apply (zenon_L519_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.14/1.28 apply (zenon_L977_); trivial. % 1.14/1.28 apply (zenon_L978_); trivial. % 1.14/1.28 apply (zenon_L106_); trivial. % 1.14/1.28 (* end of lemma zenon_L979_ *) % 1.14/1.28 assert (zenon_L980_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2303))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H35 zenon_H1d6 zenon_H16a zenon_H1e5 zenon_H5f zenon_H5d zenon_H5e zenon_H1da zenon_H1d9 zenon_H112 zenon_H1e7 zenon_H3e zenon_H3d zenon_H3c zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H16b zenon_H16c. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_He3 | zenon_intro zenon_H1d7 ]. % 1.14/1.28 apply (zenon_L331_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H3b | zenon_intro zenon_H52 ]. % 1.14/1.28 apply (zenon_L20_); trivial. % 1.14/1.28 apply (zenon_L291_); trivial. % 1.14/1.28 (* end of lemma zenon_L980_ *) % 1.14/1.28 assert (zenon_L981_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (c3_1 (a2327)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H15c zenon_H26 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H1e7 zenon_H16c zenon_H16b zenon_H16a zenon_H5e zenon_H5d zenon_H5f zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H3c zenon_H3d zenon_H3e zenon_H1d6. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.14/1.28 apply (zenon_L333_); trivial. % 1.14/1.28 apply (zenon_L955_); trivial. % 1.14/1.28 (* end of lemma zenon_L981_ *) % 1.14/1.28 assert (zenon_L982_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H49 zenon_H15b zenon_H26 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1e7 zenon_H16a zenon_H5e zenon_H5d zenon_H5f zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H74 zenon_H75 zenon_H76 zenon_H16b zenon_H16c zenon_H242 zenon_H1d6 zenon_H3a. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.28 apply (zenon_L528_); trivial. % 1.14/1.28 apply (zenon_L980_); trivial. % 1.14/1.28 apply (zenon_L981_); trivial. % 1.14/1.28 (* end of lemma zenon_L982_ *) % 1.14/1.28 assert (zenon_L983_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H6d zenon_H72 zenon_H15b zenon_H26 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H2bc zenon_H1e7 zenon_H16a zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H74 zenon_H75 zenon_H76 zenon_H16b zenon_H16c zenon_H242 zenon_H1d6 zenon_H3a zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.28 apply (zenon_L519_); trivial. % 1.14/1.28 apply (zenon_L982_); trivial. % 1.14/1.28 (* end of lemma zenon_L983_ *) % 1.14/1.28 assert (zenon_L984_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(hskp28)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> (~(c2_1 (a2342))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (~(hskp21)) -> (c1_1 (a2316)) -> (~(c2_1 (a2316))) -> (~(c3_1 (a2316))) -> (ndr1_0) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (c3_1 (a2327)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H26 zenon_H216 zenon_H81 zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H29 zenon_H2a zenon_H28 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_Hed zenon_H85 zenon_H7d zenon_H5f zenon_H5d zenon_H5e zenon_H12 zenon_H3c zenon_H3d zenon_H3e zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1d6. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.14/1.28 apply (zenon_L976_); trivial. % 1.14/1.28 apply (zenon_L951_); trivial. % 1.14/1.28 (* end of lemma zenon_L984_ *) % 1.14/1.28 assert (zenon_L985_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (~(c3_1 (a2316))) -> (~(c2_1 (a2316))) -> (c1_1 (a2316)) -> (~(hskp21)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H35 zenon_Hac zenon_H1c3 zenon_H109 zenon_H10a zenon_H10b zenon_H1d6 zenon_H123 zenon_H124 zenon_H125 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H3e zenon_H3d zenon_H3c zenon_H5e zenon_H5d zenon_H5f zenon_H7d zenon_H85 zenon_Hed zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H216 zenon_H26. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.28 apply (zenon_L984_); trivial. % 1.14/1.28 apply (zenon_L713_); trivial. % 1.14/1.28 (* end of lemma zenon_L985_ *) % 1.14/1.28 assert (zenon_L986_ : ((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H6d zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H3a zenon_Hac zenon_H1c3 zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H85 zenon_Hed zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H216 zenon_H26 zenon_H2bc zenon_H15b zenon_H72 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.28 apply (zenon_L83_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.28 apply (zenon_L519_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.28 apply (zenon_L528_); trivial. % 1.14/1.28 apply (zenon_L985_); trivial. % 1.14/1.28 apply (zenon_L978_); trivial. % 1.14/1.28 apply (zenon_L106_); trivial. % 1.14/1.28 (* end of lemma zenon_L986_ *) % 1.14/1.28 assert (zenon_L987_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H195 zenon_H184 zenon_H178 zenon_H112 zenon_H1e5 zenon_H1e7 zenon_H71 zenon_Hf3 zenon_H167 zenon_H1ee zenon_H26 zenon_Hed zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H72 zenon_H107 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H157 zenon_H1c3 zenon_Hac zenon_H3a zenon_H119 zenon_H2bc zenon_H15b zenon_H138 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.28 apply (zenon_L909_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.28 apply (zenon_L950_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.28 apply (zenon_L83_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.28 apply (zenon_L519_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.28 apply (zenon_L523_); trivial. % 1.14/1.28 apply (zenon_L985_); trivial. % 1.14/1.28 apply (zenon_L106_); trivial. % 1.14/1.28 apply (zenon_L970_); trivial. % 1.14/1.28 apply (zenon_L325_); trivial. % 1.14/1.28 (* end of lemma zenon_L987_ *) % 1.14/1.28 assert (zenon_L988_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (~(c1_1 (a2287))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H1f3 zenon_H1fa zenon_H2ba zenon_H21c zenon_H234 zenon_H183 zenon_H178 zenon_Hf8 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H242 zenon_H246 zenon_H1e5 zenon_H112 zenon_H69 zenon_H26 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H9 zenon_Hf1 zenon_H107 zenon_H3a zenon_Hac zenon_H1c3 zenon_H157 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H2bc zenon_H15b zenon_H119 zenon_H138 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Ha8 zenon_H184 zenon_H72 zenon_H238 zenon_H237 zenon_H239 zenon_H1d6 zenon_H1ee zenon_H198. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.28 apply (zenon_L949_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.28 apply (zenon_L909_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.28 apply (zenon_L946_); trivial. % 1.14/1.28 apply (zenon_L986_); trivial. % 1.14/1.28 apply (zenon_L970_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.28 apply (zenon_L946_); trivial. % 1.14/1.28 apply (zenon_L598_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.28 apply (zenon_L946_); trivial. % 1.14/1.28 apply (zenon_L983_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.28 apply (zenon_L345_); trivial. % 1.14/1.28 apply (zenon_L987_); trivial. % 1.14/1.28 (* end of lemma zenon_L988_ *) % 1.14/1.28 assert (zenon_L989_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H135 zenon_H72 zenon_H26 zenon_H21d zenon_H21e zenon_H21f zenon_H112 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1d6 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.28 apply (zenon_L519_); trivial. % 1.14/1.28 apply (zenon_L403_); trivial. % 1.14/1.28 (* end of lemma zenon_L989_ *) % 1.14/1.28 assert (zenon_L990_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> (ndr1_0) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H138 zenon_H72 zenon_H26 zenon_H112 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H125 zenon_H124 zenon_H123 zenon_H1d6 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H12 zenon_H165 zenon_H167 zenon_Hf3. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.28 apply (zenon_L395_); trivial. % 1.14/1.28 apply (zenon_L989_); trivial. % 1.14/1.28 (* end of lemma zenon_L990_ *) % 1.14/1.28 assert (zenon_L991_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H17b zenon_H178 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_Hf3 zenon_H167 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H246 zenon_H1e5 zenon_H112 zenon_H26 zenon_H72 zenon_H138. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.28 apply (zenon_L990_); trivial. % 1.14/1.28 apply (zenon_L407_); trivial. % 1.14/1.28 (* end of lemma zenon_L991_ *) % 1.14/1.28 assert (zenon_L992_ : ((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H219 zenon_H198 zenon_H1ee zenon_H239 zenon_H237 zenon_H238 zenon_H184 zenon_Ha8 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H138 zenon_H72 zenon_H26 zenon_H1d6 zenon_H112 zenon_H1e5 zenon_H246 zenon_H22e zenon_Hed zenon_H21f zenon_H21e zenon_H21d zenon_H167 zenon_Hf3 zenon_H1e7 zenon_H178 zenon_H183. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.28 apply (zenon_L965_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.28 apply (zenon_L909_); trivial. % 1.14/1.28 apply (zenon_L991_); trivial. % 1.14/1.28 (* end of lemma zenon_L992_ *) % 1.14/1.28 assert (zenon_L993_ : ((ndr1_0)/\((c0_1 (a2285))/\((c1_1 (a2285))/\(~(c3_1 (a2285)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a2286))/\((~(c0_1 (a2286)))/\(~(c2_1 (a2286))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H27f zenon_H280 zenon_H270 zenon_H198 zenon_H17c zenon_H184 zenon_Ha8 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H138 zenon_H72 zenon_H26 zenon_H1d6 zenon_H112 zenon_H1e5 zenon_H246 zenon_H22e zenon_Hed zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H266 zenon_H242 zenon_H1d5 zenon_H15b zenon_Hce zenon_H2d3 zenon_H87 zenon_H157 zenon_Hac zenon_H2bc zenon_H36 zenon_H3a zenon_H69 zenon_H71 zenon_H178 zenon_H183 zenon_H1e7 zenon_H238 zenon_H237 zenon_H239 zenon_H1ee zenon_H218. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.14/1.28 apply (zenon_L962_); trivial. % 1.14/1.28 apply (zenon_L992_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.28 apply (zenon_L915_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.28 apply (zenon_L909_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.28 apply (zenon_L410_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.14/1.28 apply (zenon_L570_); trivial. % 1.14/1.28 apply (zenon_L814_); trivial. % 1.14/1.28 apply (zenon_L867_); trivial. % 1.14/1.28 apply (zenon_L960_); trivial. % 1.14/1.28 apply (zenon_L961_); trivial. % 1.14/1.28 apply (zenon_L992_); trivial. % 1.14/1.28 (* end of lemma zenon_L993_ *) % 1.14/1.28 assert (zenon_L994_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H1f3 zenon_H184 zenon_H119 zenon_Hac zenon_H1c3 zenon_H157 zenon_H286 zenon_H287 zenon_H288 zenon_H216 zenon_H107 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.28 apply (zenon_L909_); trivial. % 1.14/1.28 apply (zenon_L903_); trivial. % 1.14/1.28 (* end of lemma zenon_L994_ *) % 1.14/1.28 assert (zenon_L995_ : ((ndr1_0)/\((c0_1 (a2279))/\((~(c2_1 (a2279)))/\(~(c3_1 (a2279)))))) -> ((~(hskp3))\/((ndr1_0)/\((c1_1 (a2280))/\((c3_1 (a2280))/\(~(c2_1 (a2280))))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a2285))/\((c1_1 (a2285))/\(~(c3_1 (a2285))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a2286))/\((~(c0_1 (a2286)))/\(~(c2_1 (a2286))))))) -> ((~(hskp4))\/((ndr1_0)/\((c2_1 (a2282))/\((~(c0_1 (a2282)))/\(~(c3_1 (a2282))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H2dc zenon_H2dd zenon_H2d9 zenon_H17c zenon_H22e zenon_H2d3 zenon_H218 zenon_H234 zenon_H184 zenon_H138 zenon_Hf9 zenon_H107 zenon_H3a zenon_Hce zenon_H163 zenon_H87 zenon_H157 zenon_H1c3 zenon_Hac zenon_H2bc zenon_H15b zenon_H119 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_Hf1 zenon_H183 zenon_Hf8 zenon_H6e zenon_H266 zenon_H1c7 zenon_H242 zenon_H1d5 zenon_H36 zenon_H2ba zenon_H26 zenon_H216 zenon_H69 zenon_H246 zenon_H71 zenon_Ha8 zenon_H72 zenon_H47 zenon_H1ee zenon_H1d6 zenon_H198 zenon_H1fa zenon_H1f8 zenon_H270 zenon_H178 zenon_H1e5 zenon_H1e7 zenon_Hf3 zenon_H167 zenon_Hed zenon_H20d zenon_H280 zenon_H2de. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H12. zenon_intro zenon_H2df. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2b3. zenon_intro zenon_H2e0. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2b1. zenon_intro zenon_H2b2. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H112 | zenon_intro zenon_H2e1 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.14/1.28 apply (zenon_L925_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.14/1.28 apply (zenon_L926_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.28 apply (zenon_L937_); trivial. % 1.14/1.28 apply (zenon_L938_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.28 apply (zenon_L345_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.28 apply (zenon_L520_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.28 apply (zenon_L909_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.28 apply (zenon_L944_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.28 apply (zenon_L932_); trivial. % 1.14/1.28 apply (zenon_L556_); trivial. % 1.14/1.28 apply (zenon_L912_); trivial. % 1.14/1.28 apply (zenon_L959_); trivial. % 1.14/1.28 apply (zenon_L967_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H12. zenon_intro zenon_H2da. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H237. zenon_intro zenon_H2db. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H239. zenon_intro zenon_H238. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.14/1.28 apply (zenon_L975_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.14/1.28 apply (zenon_L926_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.28 apply (zenon_L937_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.28 apply (zenon_L909_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.28 apply (zenon_L930_); trivial. % 1.14/1.28 apply (zenon_L979_); trivial. % 1.14/1.28 apply (zenon_L912_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.28 apply (zenon_L930_); trivial. % 1.14/1.28 apply (zenon_L598_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.28 apply (zenon_L930_); trivial. % 1.14/1.28 apply (zenon_L983_); trivial. % 1.14/1.28 apply (zenon_L594_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.28 apply (zenon_L345_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.28 apply (zenon_L909_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.28 apply (zenon_L939_); trivial. % 1.14/1.28 apply (zenon_L979_); trivial. % 1.14/1.28 apply (zenon_L912_); trivial. % 1.14/1.28 apply (zenon_L325_); trivial. % 1.14/1.28 apply (zenon_L988_); trivial. % 1.14/1.28 apply (zenon_L993_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H12. zenon_intro zenon_H2e2. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H287. zenon_intro zenon_H2e3. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H288. zenon_intro zenon_H286. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.28 apply (zenon_L909_); trivial. % 1.14/1.28 apply (zenon_L889_); trivial. % 1.14/1.28 apply (zenon_L994_); trivial. % 1.14/1.28 (* end of lemma zenon_L995_ *) % 1.14/1.28 assert (zenon_L996_ : ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp17)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_Hdc zenon_H66. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2e8 | zenon_intro zenon_H23a ]. % 1.14/1.28 generalize (zenon_H2e8 (a2276)). zenon_intro zenon_H2e9. % 1.14/1.28 apply (zenon_imply_s _ _ zenon_H2e9); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ea ]. % 1.14/1.28 exact (zenon_H11 zenon_H12). % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H2ec | zenon_intro zenon_H2eb ]. % 1.14/1.28 exact (zenon_H2e7 zenon_H2ec). % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2ed ]. % 1.14/1.28 exact (zenon_H2ee zenon_H2e6). % 1.14/1.28 exact (zenon_H2ed zenon_H2e5). % 1.14/1.28 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_Hdd | zenon_intro zenon_H67 ]. % 1.14/1.28 exact (zenon_Hdc zenon_Hdd). % 1.14/1.28 exact (zenon_H66 zenon_H67). % 1.14/1.28 (* end of lemma zenon_L996_ *) % 1.14/1.28 assert (zenon_L997_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H8b zenon_H12 zenon_H2e7 zenon_Hb1 zenon_H2e6 zenon_H2e5. % 1.14/1.28 generalize (zenon_H8b (a2276)). zenon_intro zenon_H2ef. % 1.14/1.28 apply (zenon_imply_s _ _ zenon_H2ef); [ zenon_intro zenon_H11 | zenon_intro zenon_H2f0 ]. % 1.14/1.28 exact (zenon_H11 zenon_H12). % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2ec | zenon_intro zenon_H2f1 ]. % 1.14/1.28 exact (zenon_H2e7 zenon_H2ec). % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H2ed ]. % 1.14/1.28 generalize (zenon_Hb1 (a2276)). zenon_intro zenon_H2f3. % 1.14/1.28 apply (zenon_imply_s _ _ zenon_H2f3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2f4 ]. % 1.14/1.28 exact (zenon_H11 zenon_H12). % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2f4); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H2eb ]. % 1.14/1.28 exact (zenon_H2f2 zenon_H2f5). % 1.14/1.28 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2ed ]. % 1.14/1.28 exact (zenon_H2ee zenon_H2e6). % 1.14/1.28 exact (zenon_H2ed zenon_H2e5). % 1.14/1.28 exact (zenon_H2ed zenon_H2e5). % 1.14/1.28 (* end of lemma zenon_L997_ *) % 1.14/1.28 assert (zenon_L998_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c0_1 (a2276))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp13)) -> False). % 1.14/1.28 do 0 intro. intros zenon_Ha8 zenon_H2e5 zenon_H2e6 zenon_Hb1 zenon_H2e7 zenon_H12 zenon_H31 zenon_H5. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H8b | zenon_intro zenon_Hab ]. % 1.14/1.28 apply (zenon_L997_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H32 | zenon_intro zenon_H6 ]. % 1.14/1.28 exact (zenon_H31 zenon_H32). % 1.14/1.28 exact (zenon_H5 zenon_H6). % 1.14/1.28 (* end of lemma zenon_L998_ *) % 1.14/1.28 assert (zenon_L999_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_Hf4 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H7f zenon_Ha8 zenon_H5 zenon_H31 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.14/1.28 apply (zenon_L36_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Had | zenon_intro zenon_Hbe ]. % 1.14/1.28 apply (zenon_L47_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.14/1.28 apply (zenon_L998_); trivial. % 1.14/1.28 exact (zenon_Hbb zenon_Hbc). % 1.14/1.28 apply (zenon_L58_); trivial. % 1.14/1.28 (* end of lemma zenon_L999_ *) % 1.14/1.28 assert (zenon_L1000_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H184 zenon_H119 zenon_H114 zenon_H45 zenon_H112 zenon_H107 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H31 zenon_H5 zenon_Ha8 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.28 apply (zenon_L996_); trivial. % 1.14/1.28 apply (zenon_L999_); trivial. % 1.14/1.28 apply (zenon_L136_); trivial. % 1.14/1.28 (* end of lemma zenon_L1000_ *) % 1.14/1.28 assert (zenon_L1001_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c0_1 (a2276))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (ndr1_0) -> (~(hskp30)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H246 zenon_H2e5 zenon_H2e6 zenon_Hb1 zenon_H2e7 zenon_H12e zenon_H12d zenon_H12c zenon_H12 zenon_Hd. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H8b | zenon_intro zenon_H247 ]. % 1.14/1.28 apply (zenon_L997_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H89 | zenon_intro zenon_He ]. % 1.14/1.28 apply (zenon_L85_); trivial. % 1.14/1.28 exact (zenon_Hd zenon_He). % 1.14/1.28 (* end of lemma zenon_L1001_ *) % 1.14/1.28 assert (zenon_L1002_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp23)) -> (~(hskp25)) -> (ndr1_0) -> (~(c0_1 (a2325))) -> (~(c1_1 (a2325))) -> (c2_1 (a2325)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H26 zenon_H22 zenon_H1f zenon_H1d zenon_H12 zenon_H8c zenon_H8a zenon_H8d zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Had | zenon_intro zenon_Hbe ]. % 1.14/1.28 apply (zenon_L47_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.14/1.28 apply (zenon_L1001_); trivial. % 1.14/1.28 exact (zenon_Hbb zenon_Hbc). % 1.14/1.28 apply (zenon_L13_); trivial. % 1.14/1.28 (* end of lemma zenon_L1002_ *) % 1.14/1.28 assert (zenon_L1003_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp19)) -> (~(hskp12)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_Hf3 zenon_H167 zenon_H85 zenon_H165 zenon_H7f zenon_H76 zenon_H75 zenon_H74 zenon_H12 zenon_H3a zenon_H36 zenon_H33 zenon_H31 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H22 zenon_H26 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H72 zenon_Hf5. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.14/1.28 apply (zenon_L36_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.28 apply (zenon_L1002_); trivial. % 1.14/1.28 apply (zenon_L18_); trivial. % 1.14/1.28 apply (zenon_L204_); trivial. % 1.14/1.28 apply (zenon_L106_); trivial. % 1.14/1.28 (* end of lemma zenon_L1003_ *) % 1.14/1.28 assert (zenon_L1004_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_Hde zenon_Hdc zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf5 zenon_H72 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H26 zenon_H22 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_H31 zenon_H36 zenon_H3a zenon_H7f zenon_H165 zenon_H85 zenon_H167 zenon_Hf3. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.28 apply (zenon_L1003_); trivial. % 1.14/1.28 apply (zenon_L64_); trivial. % 1.14/1.28 (* end of lemma zenon_L1004_ *) % 1.14/1.28 assert (zenon_L1005_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2325)) -> (~(c1_1 (a2325))) -> (~(c0_1 (a2325))) -> (ndr1_0) -> (~(hskp23)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H3a zenon_Hac zenon_H74 zenon_H75 zenon_H76 zenon_H157 zenon_H242 zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H8d zenon_H8a zenon_H8c zenon_H12 zenon_H1f zenon_H22 zenon_H26. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.28 apply (zenon_L1002_); trivial. % 1.14/1.28 apply (zenon_L314_); trivial. % 1.14/1.28 (* end of lemma zenon_L1005_ *) % 1.14/1.28 assert (zenon_L1006_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_Hf4 zenon_Hf3 zenon_Hde zenon_Hdc zenon_H7f zenon_H3a zenon_Hac zenon_H157 zenon_H242 zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H22 zenon_H26 zenon_H244 zenon_H72 zenon_Hf5. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.14/1.28 apply (zenon_L36_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.28 apply (zenon_L1005_); trivial. % 1.14/1.28 apply (zenon_L237_); trivial. % 1.14/1.28 apply (zenon_L58_); trivial. % 1.14/1.28 (* end of lemma zenon_L1006_ *) % 1.14/1.28 assert (zenon_L1007_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hac zenon_H157 zenon_H242 zenon_H4e zenon_Hf9 zenon_Hbd zenon_Hbb zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H22 zenon_H26 zenon_H244 zenon_H72 zenon_Hf5 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.28 apply (zenon_L996_); trivial. % 1.14/1.28 apply (zenon_L1006_); trivial. % 1.14/1.28 (* end of lemma zenon_L1007_ *) % 1.14/1.28 assert (zenon_L1008_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H183 zenon_H138 zenon_Hac zenon_H157 zenon_H242 zenon_H4e zenon_Hf9 zenon_H244 zenon_H167 zenon_H3a zenon_H36 zenon_H246 zenon_H22 zenon_H26 zenon_H1a3 zenon_H1b0 zenon_H72 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_H161 zenon_H173 zenon_H178 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_Ha8 zenon_H31 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H107 zenon_H112 zenon_H45 zenon_H114 zenon_H119 zenon_H184. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.28 apply (zenon_L1000_); trivial. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.28 apply (zenon_L996_); trivial. % 1.14/1.28 apply (zenon_L1004_); trivial. % 1.14/1.28 apply (zenon_L1007_); trivial. % 1.14/1.28 apply (zenon_L113_); trivial. % 1.14/1.28 apply (zenon_L136_); trivial. % 1.14/1.28 (* end of lemma zenon_L1008_ *) % 1.14/1.28 assert (zenon_L1009_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H4e zenon_Hf9 zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H1d5 zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_Hf5 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.14/1.28 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.28 apply (zenon_L996_); trivial. % 1.14/1.28 apply (zenon_L316_); trivial. % 1.14/1.28 (* end of lemma zenon_L1009_ *) % 1.14/1.28 assert (zenon_L1010_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H138 zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_Hf5 zenon_H72 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.28 apply (zenon_L996_); trivial. % 1.14/1.28 apply (zenon_L271_); trivial. % 1.14/1.28 apply (zenon_L1009_); trivial. % 1.14/1.28 (* end of lemma zenon_L1010_ *) % 1.14/1.28 assert (zenon_L1011_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H178 zenon_H173 zenon_Hf1 zenon_Hef zenon_Hf8 zenon_H71 zenon_H167 zenon_Hed zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_Hf5 zenon_H72 zenon_Hce zenon_H26 zenon_H22 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H13a zenon_H13b zenon_H13c zenon_H159 zenon_Hbb zenon_H186 zenon_H185 zenon_H187 zenon_H157 zenon_H1ee zenon_Hac zenon_Hbd zenon_H242 zenon_H9 zenon_H161 zenon_H163 zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_H138. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.28 apply (zenon_L996_); trivial. % 1.14/1.28 apply (zenon_L301_); trivial. % 1.14/1.28 apply (zenon_L167_); trivial. % 1.14/1.28 apply (zenon_L113_); trivial. % 1.14/1.28 (* end of lemma zenon_L1011_ *) % 1.14/1.28 assert (zenon_L1012_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (c1_1 (a2286)) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a2286))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.14/1.28 do 0 intro. intros zenon_H20d zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H202 zenon_Hb1 zenon_H201 zenon_H12 zenon_H33. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H8b | zenon_intro zenon_H20e ]. % 1.14/1.28 apply (zenon_L997_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H5c | zenon_intro zenon_H34 ]. % 1.14/1.28 apply (zenon_L172_); trivial. % 1.14/1.28 exact (zenon_H33 zenon_H34). % 1.14/1.28 (* end of lemma zenon_L1012_ *) % 1.14/1.28 assert (zenon_L1013_ : ((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp19)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp1)) -> False). % 1.14/1.28 do 0 intro. intros zenon_Hcf zenon_Hbd zenon_H33 zenon_H201 zenon_H202 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H20d zenon_Hbb. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Had | zenon_intro zenon_Hbe ]. % 1.14/1.28 apply (zenon_L47_); trivial. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hbc ]. % 1.14/1.28 apply (zenon_L1012_); trivial. % 1.14/1.28 exact (zenon_Hbb zenon_Hbc). % 1.14/1.28 (* end of lemma zenon_L1013_ *) % 1.14/1.28 assert (zenon_L1014_ : ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (~(hskp21)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> False). % 1.14/1.28 do 0 intro. intros zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H12 zenon_H74 zenon_H75 zenon_H76 zenon_H7d zenon_H7f. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.14/1.28 apply (zenon_L36_); trivial. % 1.14/1.28 apply (zenon_L1013_); trivial. % 1.14/1.28 (* end of lemma zenon_L1014_ *) % 1.14/1.28 assert (zenon_L1015_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp14)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (ndr1_0) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_Hf3 zenon_Hde zenon_Hdc zenon_H7f zenon_H76 zenon_H75 zenon_H74 zenon_H12 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.14/1.28 apply (zenon_L1014_); trivial. % 1.14/1.28 apply (zenon_L58_); trivial. % 1.14/1.28 (* end of lemma zenon_L1015_ *) % 1.14/1.28 assert (zenon_L1016_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp14)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_Hed zenon_H85 zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_Hdc zenon_Hde zenon_Hf3. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.28 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.28 apply (zenon_L1015_); trivial. % 1.14/1.28 apply (zenon_L64_); trivial. % 1.14/1.28 (* end of lemma zenon_L1016_ *) % 1.14/1.28 assert (zenon_L1017_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H138 zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_Hf3 zenon_Hde zenon_H7f zenon_H20d zenon_H202 zenon_H201 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.28 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.28 apply (zenon_L996_); trivial. % 1.14/1.28 apply (zenon_L1016_); trivial. % 1.14/1.28 apply (zenon_L109_); trivial. % 1.14/1.28 (* end of lemma zenon_L1017_ *) % 1.14/1.28 assert (zenon_L1018_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.28 do 0 intro. intros zenon_H184 zenon_H119 zenon_H114 zenon_H45 zenon_H112 zenon_H107 zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H138. % 1.14/1.28 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.28 apply (zenon_L1017_); trivial. % 1.14/1.28 apply (zenon_L136_); trivial. % 1.14/1.28 (* end of lemma zenon_L1018_ *) % 1.14/1.28 assert (zenon_L1019_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_H1d5 zenon_H242 zenon_H179 zenon_H266 zenon_Hbd zenon_Hbb zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H22 zenon_H26 zenon_H244 zenon_H72 zenon_Hf5 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.29 apply (zenon_L996_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.14/1.29 apply (zenon_L36_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.29 apply (zenon_L1002_); trivial. % 1.14/1.29 apply (zenon_L292_); trivial. % 1.14/1.29 apply (zenon_L237_); trivial. % 1.14/1.29 apply (zenon_L58_); trivial. % 1.14/1.29 (* end of lemma zenon_L1019_ *) % 1.14/1.29 assert (zenon_L1020_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H184 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H31 zenon_H5 zenon_Ha8 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.29 apply (zenon_L229_); trivial. % 1.14/1.29 apply (zenon_L999_); trivial. % 1.14/1.29 apply (zenon_L126_); trivial. % 1.14/1.29 (* end of lemma zenon_L1020_ *) % 1.14/1.29 assert (zenon_L1021_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H183 zenon_H266 zenon_H179 zenon_H1d5 zenon_H1e5 zenon_H112 zenon_H119 zenon_H6e zenon_H1e7 zenon_H1c3 zenon_H246 zenon_H4e zenon_H50 zenon_H193 zenon_H36 zenon_H107 zenon_H69 zenon_H138 zenon_Hf1 zenon_Hef zenon_H72 zenon_H244 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_Hac zenon_H157 zenon_H242 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H167 zenon_H71 zenon_Hed zenon_H173 zenon_H178 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_Ha8 zenon_H31 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H184. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.29 apply (zenon_L1020_); trivial. % 1.14/1.29 apply (zenon_L269_); trivial. % 1.14/1.29 (* end of lemma zenon_L1021_ *) % 1.14/1.29 assert (zenon_L1022_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H138 zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_H72 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.29 apply (zenon_L272_); trivial. % 1.14/1.29 apply (zenon_L1009_); trivial. % 1.14/1.29 (* end of lemma zenon_L1022_ *) % 1.14/1.29 assert (zenon_L1023_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H179 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H72 zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H159 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_H138. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.29 apply (zenon_L1022_); trivial. % 1.14/1.29 apply (zenon_L116_); trivial. % 1.14/1.29 (* end of lemma zenon_L1023_ *) % 1.14/1.29 assert (zenon_L1024_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hac zenon_H157 zenon_H242 zenon_H4e zenon_Hf9 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H22 zenon_H26 zenon_H244 zenon_H72 zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.29 apply (zenon_L229_); trivial. % 1.14/1.29 apply (zenon_L1006_); trivial. % 1.14/1.29 (* end of lemma zenon_L1024_ *) % 1.14/1.29 assert (zenon_L1025_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H178 zenon_H173 zenon_H161 zenon_Hf8 zenon_H71 zenon_Hde zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf5 zenon_H72 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H26 zenon_H22 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_H31 zenon_H36 zenon_H3a zenon_H7f zenon_H167 zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H244 zenon_Hf9 zenon_H4e zenon_H242 zenon_H157 zenon_Hac zenon_H138. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.29 apply (zenon_L229_); trivial. % 1.14/1.29 apply (zenon_L1004_); trivial. % 1.14/1.29 apply (zenon_L1024_); trivial. % 1.14/1.29 apply (zenon_L113_); trivial. % 1.14/1.29 (* end of lemma zenon_L1025_ *) % 1.14/1.29 assert (zenon_L1026_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_Hf4 zenon_Hf3 zenon_H167 zenon_H85 zenon_H165 zenon_H7f zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H22 zenon_H26 zenon_H244 zenon_H72 zenon_Hf5. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.14/1.29 apply (zenon_L36_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.29 apply (zenon_L1002_); trivial. % 1.14/1.29 apply (zenon_L289_); trivial. % 1.14/1.29 apply (zenon_L237_); trivial. % 1.14/1.29 apply (zenon_L106_); trivial. % 1.14/1.29 (* end of lemma zenon_L1026_ *) % 1.14/1.29 assert (zenon_L1027_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_H1d6 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H119 zenon_H72 zenon_H6e zenon_H244 zenon_Hbb zenon_H1e7 zenon_H237 zenon_H239 zenon_H238 zenon_H1c3 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H193 zenon_H31 zenon_H36 zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H69 zenon_H71. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.29 apply (zenon_L249_); trivial. % 1.14/1.29 apply (zenon_L664_); trivial. % 1.14/1.29 (* end of lemma zenon_L1027_ *) % 1.14/1.29 assert (zenon_L1028_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H138 zenon_H1d6 zenon_H1e7 zenon_H237 zenon_H239 zenon_H238 zenon_H1c3 zenon_H193 zenon_H71 zenon_H6e zenon_H69 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H26 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H36 zenon_H31 zenon_H187 zenon_H186 zenon_H185 zenon_H157 zenon_Hbb zenon_H159 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119 zenon_Hf5 zenon_H72 zenon_H244 zenon_H22 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbd zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H3a zenon_H7f zenon_Hf8. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.29 apply (zenon_L540_); trivial. % 1.14/1.29 apply (zenon_L1026_); trivial. % 1.14/1.29 apply (zenon_L1027_); trivial. % 1.14/1.29 (* end of lemma zenon_L1028_ *) % 1.14/1.29 assert (zenon_L1029_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H178 zenon_H2e4 zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H7f zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H22 zenon_H26 zenon_H244 zenon_H72 zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_Hf9 zenon_H4e zenon_H157 zenon_Hac zenon_Hde zenon_H138. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.29 apply (zenon_L229_); trivial. % 1.14/1.29 apply (zenon_L1026_); trivial. % 1.14/1.29 apply (zenon_L1024_); trivial. % 1.14/1.29 apply (zenon_L1019_); trivial. % 1.14/1.29 (* end of lemma zenon_L1029_ *) % 1.14/1.29 assert (zenon_L1030_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H138 zenon_H1d6 zenon_H71 zenon_H69 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H3a zenon_H36 zenon_H31 zenon_H193 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H1c3 zenon_H238 zenon_H239 zenon_H237 zenon_H1e7 zenon_Hbb zenon_H244 zenon_H6e zenon_H72 zenon_H119 zenon_Hf5 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbd zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H7f zenon_H165 zenon_H167 zenon_Hf3 zenon_Hf8. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.29 apply (zenon_L249_); trivial. % 1.14/1.29 apply (zenon_L1026_); trivial. % 1.14/1.29 apply (zenon_L1027_); trivial. % 1.14/1.29 (* end of lemma zenon_L1030_ *) % 1.14/1.29 assert (zenon_L1031_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H183 zenon_H1e5 zenon_H19a zenon_H19b zenon_H19c zenon_H119 zenon_H1e7 zenon_H1c3 zenon_H50 zenon_H193 zenon_H36 zenon_H107 zenon_H69 zenon_H71 zenon_H1d6 zenon_H138 zenon_Hac zenon_H157 zenon_H4e zenon_Hf9 zenon_H72 zenon_H244 zenon_H26 zenon_H22 zenon_H246 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_H167 zenon_H2e4 zenon_H178 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_Ha8 zenon_H31 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H184. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.29 apply (zenon_L1020_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.29 apply (zenon_L1029_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.29 apply (zenon_L1030_); trivial. % 1.14/1.29 apply (zenon_L325_); trivial. % 1.14/1.29 (* end of lemma zenon_L1031_ *) % 1.14/1.29 assert (zenon_L1032_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H195 zenon_H184 zenon_H1c3 zenon_H138 zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_H107 zenon_H242 zenon_H19a zenon_H19b zenon_H19c zenon_H26a zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_Hbd zenon_Hbb zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H72 zenon_Hf5 zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H157 zenon_H159 zenon_Hac zenon_H15f zenon_H167 zenon_H119 zenon_Hf8 zenon_H1e7 zenon_H178. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.29 apply (zenon_L313_); trivial. % 1.14/1.29 apply (zenon_L1009_); trivial. % 1.14/1.29 apply (zenon_L319_); trivial. % 1.14/1.29 apply (zenon_L321_); trivial. % 1.14/1.29 (* end of lemma zenon_L1032_ *) % 1.14/1.29 assert (zenon_L1033_ : ((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H1fb zenon_H198 zenon_H1ee zenon_H1b0 zenon_H1a3 zenon_Hed zenon_H184 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Ha8 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H178 zenon_H2e4 zenon_H167 zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H246 zenon_H22 zenon_H26 zenon_H244 zenon_H72 zenon_Hf9 zenon_H4e zenon_H157 zenon_Hac zenon_H138 zenon_H1d6 zenon_H1e7 zenon_H1c3 zenon_H193 zenon_H71 zenon_H69 zenon_H50 zenon_H107 zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H36 zenon_H159 zenon_H15f zenon_H119 zenon_H19c zenon_H19b zenon_H19a zenon_H1e5 zenon_H183. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.29 apply (zenon_L1020_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.29 apply (zenon_L1029_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.29 apply (zenon_L1028_); trivial. % 1.14/1.29 apply (zenon_L325_); trivial. % 1.14/1.29 apply (zenon_L327_); trivial. % 1.14/1.29 (* end of lemma zenon_L1033_ *) % 1.14/1.29 assert (zenon_L1034_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H183 zenon_H1d6 zenon_H1e7 zenon_H1e5 zenon_H112 zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H193 zenon_H36 zenon_H50 zenon_H4e zenon_H246 zenon_H69 zenon_H6e zenon_H138 zenon_Hf1 zenon_Hef zenon_H72 zenon_H244 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_Hac zenon_H157 zenon_H242 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H167 zenon_H71 zenon_Hed zenon_H173 zenon_H178 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_Ha8 zenon_H31 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H184. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.29 apply (zenon_L1020_); trivial. % 1.14/1.29 apply (zenon_L337_); trivial. % 1.14/1.29 (* end of lemma zenon_L1034_ *) % 1.14/1.29 assert (zenon_L1035_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H195 zenon_H184 zenon_H178 zenon_H71 zenon_Hf1 zenon_Hef zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H173 zenon_H119 zenon_H167 zenon_H15f zenon_H15b zenon_H107 zenon_H1c3 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H72 zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H159 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_H138. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.29 apply (zenon_L1022_); trivial. % 1.14/1.29 apply (zenon_L162_); trivial. % 1.14/1.29 (* end of lemma zenon_L1035_ *) % 1.14/1.29 assert (zenon_L1036_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H1f0 zenon_H1f9 zenon_H1e5 zenon_H246 zenon_H1ee zenon_H193 zenon_Hed zenon_H71 zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H178 zenon_H1e7 zenon_Hf8 zenon_H119 zenon_H167 zenon_H15f zenon_Hac zenon_H159 zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf5 zenon_H72 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_Hbb zenon_Hbd zenon_H26 zenon_H22 zenon_H9 zenon_Hf zenon_H26a zenon_H242 zenon_H107 zenon_H3a zenon_H7f zenon_Hde zenon_Hf3 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_H138 zenon_H1c3 zenon_H184 zenon_H198. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.29 apply (zenon_L345_); trivial. % 1.14/1.29 apply (zenon_L1032_); trivial. % 1.14/1.29 apply (zenon_L346_); trivial. % 1.14/1.29 (* end of lemma zenon_L1036_ *) % 1.14/1.29 assert (zenon_L1037_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.29 do 0 intro. intros zenon_Hf8 zenon_H71 zenon_Hed zenon_H85 zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.29 apply (zenon_L229_); trivial. % 1.14/1.29 apply (zenon_L1016_); trivial. % 1.14/1.29 (* end of lemma zenon_L1037_ *) % 1.14/1.29 assert (zenon_L1038_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H138 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_H7f zenon_H20d zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.29 apply (zenon_L1037_); trivial. % 1.14/1.29 apply (zenon_L109_); trivial. % 1.14/1.29 (* end of lemma zenon_L1038_ *) % 1.14/1.29 assert (zenon_L1039_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H138. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.29 apply (zenon_L1038_); trivial. % 1.14/1.29 apply (zenon_L126_); trivial. % 1.14/1.29 (* end of lemma zenon_L1039_ *) % 1.14/1.29 assert (zenon_L1040_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H179 zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_Hde zenon_Hf3 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H138. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.29 apply (zenon_L1038_); trivial. % 1.14/1.29 apply (zenon_L116_); trivial. % 1.14/1.29 (* end of lemma zenon_L1040_ *) % 1.14/1.29 assert (zenon_L1041_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp16)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (ndr1_0) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_Hf3 zenon_H167 zenon_H85 zenon_H165 zenon_H7f zenon_H76 zenon_H75 zenon_H74 zenon_H12 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.14/1.29 apply (zenon_L1014_); trivial. % 1.14/1.29 apply (zenon_L106_); trivial. % 1.14/1.29 (* end of lemma zenon_L1041_ *) % 1.14/1.29 assert (zenon_L1042_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_H119 zenon_Hac zenon_H1c3 zenon_H157 zenon_H4e zenon_Hf9 zenon_H72 zenon_H6e zenon_H1d6 zenon_Hed zenon_H1c7 zenon_H112 zenon_H13a zenon_H13b zenon_H13c zenon_H159 zenon_H1d5 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H26a zenon_H19c zenon_H19b zenon_H19a zenon_H242 zenon_H107 zenon_H3a zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_H167 zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H2e4 zenon_Hde zenon_H138. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.29 apply (zenon_L229_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.29 apply (zenon_L1041_); trivial. % 1.14/1.29 apply (zenon_L367_); trivial. % 1.14/1.29 apply (zenon_L1009_); trivial. % 1.14/1.29 apply (zenon_L319_); trivial. % 1.14/1.29 (* end of lemma zenon_L1042_ *) % 1.14/1.29 assert (zenon_L1043_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H195 zenon_H184 zenon_H1e5 zenon_H246 zenon_H15f zenon_H87 zenon_H29d zenon_H29f zenon_Hce zenon_H15b zenon_H138 zenon_Hde zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf3 zenon_H167 zenon_H7f zenon_H20d zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H3a zenon_H107 zenon_H242 zenon_H19a zenon_H19b zenon_H19c zenon_H26a zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H1d5 zenon_H159 zenon_H112 zenon_H1c7 zenon_Hed zenon_H1d6 zenon_H6e zenon_H72 zenon_Hf9 zenon_H4e zenon_H157 zenon_H1c3 zenon_Hac zenon_H119 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H178. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.29 apply (zenon_L1042_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.29 apply (zenon_L559_); trivial. % 1.14/1.29 apply (zenon_L154_); trivial. % 1.14/1.29 apply (zenon_L325_); trivial. % 1.14/1.29 (* end of lemma zenon_L1043_ *) % 1.14/1.29 assert (zenon_L1044_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_Hac zenon_H1ee zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_Hed zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_H165 zenon_H85 zenon_H167 zenon_Hf3. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.29 apply (zenon_L1041_); trivial. % 1.14/1.29 apply (zenon_L186_); trivial. % 1.14/1.29 (* end of lemma zenon_L1044_ *) % 1.14/1.29 assert (zenon_L1045_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_H19c zenon_H19b zenon_H19a zenon_Hf8 zenon_H71 zenon_Hac zenon_H1ee zenon_H157 zenon_H187 zenon_H185 zenon_H186 zenon_H159 zenon_H13c zenon_H13b zenon_H13a zenon_Hed zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_H167 zenon_Hf3 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_H138. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.29 apply (zenon_L996_); trivial. % 1.14/1.29 apply (zenon_L1044_); trivial. % 1.14/1.29 apply (zenon_L167_); trivial. % 1.14/1.29 apply (zenon_L319_); trivial. % 1.14/1.29 (* end of lemma zenon_L1045_ *) % 1.14/1.29 assert (zenon_L1046_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H195 zenon_H184 zenon_H119 zenon_H15f zenon_H87 zenon_H29d zenon_H29f zenon_Hce zenon_H15b zenon_H107 zenon_H138 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf3 zenon_H167 zenon_H7f zenon_H20d zenon_H202 zenon_H201 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H159 zenon_H186 zenon_H185 zenon_H187 zenon_H157 zenon_H1ee zenon_Hac zenon_H71 zenon_Hf8 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7 zenon_H178. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.29 apply (zenon_L1045_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.29 apply (zenon_L559_); trivial. % 1.14/1.29 apply (zenon_L167_); trivial. % 1.14/1.29 apply (zenon_L319_); trivial. % 1.14/1.29 (* end of lemma zenon_L1046_ *) % 1.14/1.29 assert (zenon_L1047_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_H165 zenon_H85 zenon_H167 zenon_Hf3. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.29 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.29 apply (zenon_L1041_); trivial. % 1.14/1.29 apply (zenon_L199_); trivial. % 1.14/1.29 (* end of lemma zenon_L1047_ *) % 1.14/1.29 assert (zenon_L1048_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.29 do 0 intro. intros zenon_H183 zenon_H178 zenon_H1d6 zenon_H112 zenon_H1e5 zenon_H242 zenon_H119 zenon_H1c3 zenon_H1e7 zenon_H107 zenon_H167 zenon_H72 zenon_H244 zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H26 zenon_H22 zenon_H193 zenon_H36 zenon_H3a zenon_H50 zenon_H4e zenon_H246 zenon_H69 zenon_H6e zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H201 zenon_H202 zenon_H20d zenon_H138 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_Ha8 zenon_H31 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H184. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.29 apply (zenon_L1020_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.29 apply (zenon_L1038_); trivial. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.29 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.29 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.29 apply (zenon_L330_); trivial. % 1.14/1.29 apply (zenon_L1047_); trivial. % 1.14/1.29 apply (zenon_L109_); trivial. % 1.14/1.29 apply (zenon_L376_); trivial. % 1.14/1.29 (* end of lemma zenon_L1048_ *) % 1.14/1.29 assert (zenon_L1049_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp19)) -> False). % 1.14/1.30 do 0 intro. intros zenon_Ha7 zenon_H1c3 zenon_Hbb zenon_H157 zenon_H13a zenon_H13b zenon_H13c zenon_H159 zenon_H10b zenon_H10a zenon_H109 zenon_H20d zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H202 zenon_H201 zenon_H33. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.14/1.30 apply (zenon_L141_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.14/1.30 apply (zenon_L75_); trivial. % 1.14/1.30 apply (zenon_L1012_); trivial. % 1.14/1.30 (* end of lemma zenon_L1049_ *) % 1.14/1.30 assert (zenon_L1050_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 1.14/1.30 do 0 intro. intros zenon_Hac zenon_H1c3 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_H10b zenon_H10a zenon_H109 zenon_Hbb zenon_H159 zenon_H83 zenon_H85 zenon_H87. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.30 apply (zenon_L40_); trivial. % 1.14/1.30 apply (zenon_L1049_); trivial. % 1.14/1.30 (* end of lemma zenon_L1050_ *) % 1.14/1.30 assert (zenon_L1051_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H119 zenon_Hce zenon_H216 zenon_H87 zenon_H85 zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H1c3 zenon_Hac zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.30 apply (zenon_L83_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.14/1.30 apply (zenon_L1050_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.30 apply (zenon_L196_); trivial. % 1.14/1.30 apply (zenon_L1049_); trivial. % 1.14/1.30 (* end of lemma zenon_L1051_ *) % 1.14/1.30 assert (zenon_L1052_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H71 zenon_H6e zenon_Hf1 zenon_Hef zenon_H9 zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H16a zenon_H16b zenon_H16c zenon_H1e7 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_Hac zenon_H1c3 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H20d zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_H85 zenon_H87 zenon_H216 zenon_Hce zenon_H119. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.30 apply (zenon_L1051_); trivial. % 1.14/1.30 apply (zenon_L160_); trivial. % 1.14/1.30 (* end of lemma zenon_L1052_ *) % 1.14/1.30 assert (zenon_L1053_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H175 zenon_H138 zenon_H72 zenon_H1d6 zenon_Hf9 zenon_H4e zenon_H186 zenon_H185 zenon_H187 zenon_H1ee zenon_H119 zenon_Hce zenon_H216 zenon_H87 zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H20d zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H1c3 zenon_Hac zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H9 zenon_Hef zenon_Hf1 zenon_H6e zenon_H71. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.30 apply (zenon_L1052_); trivial. % 1.14/1.30 apply (zenon_L167_); trivial. % 1.14/1.30 (* end of lemma zenon_L1053_ *) % 1.14/1.30 assert (zenon_L1054_ : ((ndr1_0)/\((c0_1 (a2285))/\((c1_1 (a2285))/\(~(c3_1 (a2285)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a2286))/\((~(c0_1 (a2286)))/\(~(c2_1 (a2286))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H27f zenon_H280 zenon_H20d zenon_H1f8 zenon_H1b0 zenon_H1a3 zenon_H183 zenon_H178 zenon_H119 zenon_H1e7 zenon_H1c3 zenon_H22 zenon_H266 zenon_H242 zenon_H1d5 zenon_H3a zenon_H107 zenon_H173 zenon_H69 zenon_H1e5 zenon_H112 zenon_H71 zenon_H167 zenon_Hed zenon_H26 zenon_H50 zenon_H246 zenon_H1d6 zenon_H6e zenon_H138 zenon_H72 zenon_H244 zenon_H22e zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_Ha8 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H184 zenon_H1c7 zenon_H1ee zenon_H159 zenon_H17c zenon_H198 zenon_H234 zenon_H218. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.30 apply (zenon_L1020_); trivial. % 1.14/1.30 apply (zenon_L399_); trivial. % 1.14/1.30 apply (zenon_L216_); trivial. % 1.14/1.30 apply (zenon_L193_); trivial. % 1.14/1.30 apply (zenon_L408_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.30 apply (zenon_L1020_); trivial. % 1.14/1.30 apply (zenon_L411_); trivial. % 1.14/1.30 apply (zenon_L216_); trivial. % 1.14/1.30 apply (zenon_L193_); trivial. % 1.14/1.30 apply (zenon_L408_); trivial. % 1.14/1.30 (* end of lemma zenon_L1054_ *) % 1.14/1.30 assert (zenon_L1055_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H183 zenon_H173 zenon_H161 zenon_H69 zenon_H1e5 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H36 zenon_H193 zenon_H50 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H119 zenon_H138 zenon_Hac zenon_H157 zenon_H4e zenon_Hf9 zenon_H72 zenon_H244 zenon_H26 zenon_H22 zenon_H246 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_H167 zenon_H2e4 zenon_H178 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_Ha8 zenon_H31 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H184. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.30 apply (zenon_L1020_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.30 apply (zenon_L1029_); trivial. % 1.14/1.30 apply (zenon_L621_); trivial. % 1.14/1.30 (* end of lemma zenon_L1055_ *) % 1.14/1.30 assert (zenon_L1056_ : ((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H17b zenon_H178 zenon_Hf8 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H242 zenon_H173 zenon_H161 zenon_H69 zenon_H239 zenon_H237 zenon_H238 zenon_H1e5 zenon_H112 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H3a zenon_H36 zenon_H31 zenon_H193 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H12c zenon_H12d zenon_H12e zenon_H246 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_Hbb zenon_H244 zenon_H6e zenon_H72 zenon_H119 zenon_H138. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.30 apply (zenon_L618_); trivial. % 1.14/1.30 apply (zenon_L336_); trivial. % 1.14/1.30 (* end of lemma zenon_L1056_ *) % 1.14/1.30 assert (zenon_L1057_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H183 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H69 zenon_H1e5 zenon_H107 zenon_H193 zenon_H50 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H6e zenon_H119 zenon_H138 zenon_Hac zenon_H157 zenon_H242 zenon_H4e zenon_Hf9 zenon_H244 zenon_H167 zenon_H3a zenon_H36 zenon_H246 zenon_H22 zenon_H26 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H72 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_H161 zenon_H173 zenon_H178 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_Ha8 zenon_H31 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H184. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.30 apply (zenon_L1020_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.30 apply (zenon_L1025_); trivial. % 1.14/1.30 apply (zenon_L1056_); trivial. % 1.14/1.30 (* end of lemma zenon_L1057_ *) % 1.14/1.30 assert (zenon_L1058_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H183 zenon_H119 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H193 zenon_H36 zenon_H107 zenon_H50 zenon_H69 zenon_H71 zenon_H138 zenon_Hac zenon_H157 zenon_H4e zenon_Hf9 zenon_H72 zenon_H244 zenon_H26 zenon_H22 zenon_H246 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_H167 zenon_H2e4 zenon_H178 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_Ha8 zenon_H31 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H184. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.30 apply (zenon_L1020_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.30 apply (zenon_L1029_); trivial. % 1.14/1.30 apply (zenon_L641_); trivial. % 1.14/1.30 (* end of lemma zenon_L1058_ *) % 1.14/1.30 assert (zenon_L1059_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp9)) -> (~(hskp28)) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H1c3 zenon_H4e zenon_H81 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_Hf9 zenon_H10b zenon_H10a zenon_H109 zenon_H20d zenon_H125 zenon_H124 zenon_H123 zenon_H202 zenon_H201 zenon_H12 zenon_H33. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.14/1.30 apply (zenon_L493_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.14/1.30 apply (zenon_L75_); trivial. % 1.14/1.30 apply (zenon_L194_); trivial. % 1.14/1.30 (* end of lemma zenon_L1059_ *) % 1.14/1.30 assert (zenon_L1060_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H119 zenon_Hac zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hf9 zenon_H4e zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H1c3 zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.30 apply (zenon_L83_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.30 apply (zenon_L1059_); trivial. % 1.14/1.30 apply (zenon_L1049_); trivial. % 1.14/1.30 (* end of lemma zenon_L1060_ *) % 1.14/1.30 assert (zenon_L1061_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp17)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H71 zenon_H6e zenon_H69 zenon_H66 zenon_Hf zenon_Hb zenon_H9 zenon_H50 zenon_H26 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H4e zenon_Hf9 zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hac zenon_H119. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.30 apply (zenon_L1060_); trivial. % 1.14/1.30 apply (zenon_L32_); trivial. % 1.14/1.30 (* end of lemma zenon_L1061_ *) % 1.14/1.30 assert (zenon_L1062_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H35 zenon_Hac zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_Hbb zenon_H159 zenon_H74 zenon_H75 zenon_H76 zenon_H157 zenon_H10b zenon_H10a zenon_H109 zenon_H242 zenon_H11a zenon_H11b zenon_H11c zenon_H4e zenon_Hf9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.30 apply (zenon_L89_); trivial. % 1.14/1.30 apply (zenon_L363_); trivial. % 1.14/1.30 (* end of lemma zenon_L1062_ *) % 1.14/1.30 assert (zenon_L1063_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H116 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_Hf9 zenon_H4e zenon_H11c zenon_H11b zenon_H11a zenon_H242 zenon_H157 zenon_H76 zenon_H75 zenon_H74 zenon_H159 zenon_Hbb zenon_H13c zenon_H13b zenon_H13a zenon_H1c3 zenon_Hac zenon_H3a. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.30 apply (zenon_L14_); trivial. % 1.14/1.30 apply (zenon_L1062_); trivial. % 1.14/1.30 apply (zenon_L153_); trivial. % 1.14/1.30 (* end of lemma zenon_L1063_ *) % 1.14/1.30 assert (zenon_L1064_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.14/1.30 do 0 intro. intros zenon_Hf4 zenon_H119 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_Hf9 zenon_H4e zenon_H11c zenon_H11b zenon_H11a zenon_H242 zenon_H157 zenon_H159 zenon_Hbb zenon_H13c zenon_H13b zenon_H13a zenon_H1c3 zenon_Hac zenon_H3a zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.30 apply (zenon_L83_); trivial. % 1.14/1.30 apply (zenon_L1063_); trivial. % 1.14/1.30 (* end of lemma zenon_L1064_ *) % 1.14/1.30 assert (zenon_L1065_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_H72 zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H22 zenon_H242 zenon_H3a zenon_H119 zenon_Hac zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hf9 zenon_H4e zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H26 zenon_H50 zenon_H9 zenon_Hb zenon_Hf zenon_H69 zenon_H6e zenon_H71. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.30 apply (zenon_L1061_); trivial. % 1.14/1.30 apply (zenon_L1064_); trivial. % 1.14/1.30 (* end of lemma zenon_L1065_ *) % 1.14/1.30 assert (zenon_L1066_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H138 zenon_H71 zenon_H6e zenon_H69 zenon_Hf zenon_Hb zenon_H9 zenon_H50 zenon_H26 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H1c3 zenon_H201 zenon_H202 zenon_H20d zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H4e zenon_Hf9 zenon_H159 zenon_Hbb zenon_H157 zenon_H13c zenon_H13b zenon_H13a zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hac zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H7f zenon_Hbd zenon_Hf5 zenon_H72 zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H22 zenon_Hed zenon_H242 zenon_H3a zenon_Hf8. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.30 apply (zenon_L1061_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.30 apply (zenon_L1041_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.30 apply (zenon_L83_); trivial. % 1.14/1.30 apply (zenon_L366_); trivial. % 1.14/1.30 apply (zenon_L1065_); trivial. % 1.14/1.30 (* end of lemma zenon_L1066_ *) % 1.14/1.30 assert (zenon_L1067_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H195 zenon_H184 zenon_H1e5 zenon_H246 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H50 zenon_H69 zenon_H138 zenon_Hde zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf3 zenon_H167 zenon_H7f zenon_H20d zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H3a zenon_H107 zenon_H242 zenon_H19a zenon_H19b zenon_H19c zenon_H26a zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H1d5 zenon_H159 zenon_H112 zenon_H1c7 zenon_Hed zenon_H1d6 zenon_H6e zenon_H72 zenon_Hf9 zenon_H4e zenon_H157 zenon_H1c3 zenon_Hac zenon_H119 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H178. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.30 apply (zenon_L1042_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.30 apply (zenon_L1066_); trivial. % 1.14/1.30 apply (zenon_L325_); trivial. % 1.14/1.30 (* end of lemma zenon_L1067_ *) % 1.14/1.30 assert (zenon_L1068_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H138 zenon_H119 zenon_Hac zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_Hf9 zenon_H4e zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_Hed zenon_H186 zenon_H185 zenon_H187 zenon_H1ee zenon_H165 zenon_H167 zenon_Hf3 zenon_H71. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.30 apply (zenon_L1060_); trivial. % 1.14/1.30 apply (zenon_L186_); trivial. % 1.14/1.30 apply (zenon_L167_); trivial. % 1.14/1.30 (* end of lemma zenon_L1068_ *) % 1.14/1.30 assert (zenon_L1069_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H195 zenon_H184 zenon_H26 zenon_H1e5 zenon_H246 zenon_H238 zenon_H237 zenon_H239 zenon_H107 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H119 zenon_H138 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf3 zenon_H167 zenon_H7f zenon_H20d zenon_H202 zenon_H201 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H159 zenon_H186 zenon_H185 zenon_H187 zenon_H157 zenon_H1ee zenon_Hac zenon_H71 zenon_Hf8 zenon_H19a zenon_H19b zenon_H19c zenon_H1e7 zenon_H178. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.30 apply (zenon_L1045_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.30 apply (zenon_L1068_); trivial. % 1.14/1.30 apply (zenon_L325_); trivial. % 1.14/1.30 (* end of lemma zenon_L1069_ *) % 1.14/1.30 assert (zenon_L1070_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (c3_1 (a2302)) -> (c2_1 (a2302)) -> (~(c0_1 (a2302))) -> (ndr1_0) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H138 zenon_H71 zenon_H6e zenon_H69 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H4e zenon_H50 zenon_H107 zenon_H125 zenon_H124 zenon_H123 zenon_H12 zenon_H3a zenon_H36 zenon_H31 zenon_H193 zenon_H22 zenon_H26 zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H72 zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H7f zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_Hf8. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.30 apply (zenon_L640_); trivial. % 1.14/1.30 apply (zenon_L1047_); trivial. % 1.14/1.30 apply (zenon_L109_); trivial. % 1.14/1.30 (* end of lemma zenon_L1070_ *) % 1.14/1.30 assert (zenon_L1071_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H183 zenon_H178 zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H242 zenon_H1e7 zenon_H167 zenon_H119 zenon_H72 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H26 zenon_H22 zenon_H193 zenon_H36 zenon_H3a zenon_H107 zenon_H50 zenon_H4e zenon_H246 zenon_H69 zenon_H6e zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_H7f zenon_H20d zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.30 apply (zenon_L1039_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.30 apply (zenon_L1038_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.30 apply (zenon_L1070_); trivial. % 1.14/1.30 apply (zenon_L376_); trivial. % 1.14/1.30 (* end of lemma zenon_L1071_ *) % 1.14/1.30 assert (zenon_L1072_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.30 do 0 intro. intros zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.30 apply (zenon_L996_); trivial. % 1.14/1.30 apply (zenon_L422_); trivial. % 1.14/1.30 (* end of lemma zenon_L1072_ *) % 1.14/1.30 assert (zenon_L1073_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.30 apply (zenon_L1072_); trivial. % 1.14/1.30 apply (zenon_L126_); trivial. % 1.14/1.30 (* end of lemma zenon_L1073_ *) % 1.14/1.30 assert (zenon_L1074_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp4)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H183 zenon_H178 zenon_H161 zenon_H173 zenon_H3a zenon_H242 zenon_H1e7 zenon_H22 zenon_Hac zenon_H157 zenon_H1d6 zenon_H87 zenon_H216 zenon_H29f zenon_H29d zenon_Hce zenon_H72 zenon_H167 zenon_H119 zenon_H1c3 zenon_H45 zenon_H291 zenon_H107 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H69 zenon_H6e zenon_H71 zenon_H9 zenon_Hef zenon_Hf1 zenon_H138 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.30 apply (zenon_L1073_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.30 apply (zenon_L1072_); trivial. % 1.14/1.30 apply (zenon_L441_); trivial. % 1.14/1.30 (* end of lemma zenon_L1074_ *) % 1.14/1.30 assert (zenon_L1075_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H195 zenon_H184 zenon_H138 zenon_Hf1 zenon_Hef zenon_H9 zenon_H107 zenon_Hac zenon_H1c3 zenon_H157 zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H119 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.30 apply (zenon_L1072_); trivial. % 1.14/1.30 apply (zenon_L448_); trivial. % 1.14/1.30 (* end of lemma zenon_L1075_ *) % 1.14/1.30 assert (zenon_L1076_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H183 zenon_H244 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.30 apply (zenon_L1073_); trivial. % 1.14/1.30 apply (zenon_L505_); trivial. % 1.14/1.30 (* end of lemma zenon_L1076_ *) % 1.14/1.30 assert (zenon_L1077_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4))) -> (~(hskp4)) -> (~(hskp2)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H1f3 zenon_H1fa zenon_H1a5 zenon_H45 zenon_H1a3 zenon_H183 zenon_H244 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Ha8 zenon_H184 zenon_H119 zenon_Hce zenon_H216 zenon_H87 zenon_H159 zenon_H157 zenon_H1c3 zenon_Hac zenon_H107 zenon_H9 zenon_Hf1 zenon_H138 zenon_H198. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.30 apply (zenon_L1076_); trivial. % 1.14/1.30 apply (zenon_L1075_); trivial. % 1.14/1.30 apply (zenon_L168_); trivial. % 1.14/1.30 (* end of lemma zenon_L1077_ *) % 1.14/1.30 assert (zenon_L1078_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((hskp19)\/(hskp4))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H183 zenon_H178 zenon_H69 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H1e7 zenon_H6e zenon_H3a zenon_H242 zenon_H22 zenon_Hac zenon_H157 zenon_H1d6 zenon_H87 zenon_H216 zenon_H29f zenon_H29d zenon_Hce zenon_H72 zenon_H71 zenon_H167 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_H107 zenon_H291 zenon_H45 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H119 zenon_H138 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.30 apply (zenon_L1073_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.30 apply (zenon_L1072_); trivial. % 1.14/1.30 apply (zenon_L458_); trivial. % 1.14/1.30 (* end of lemma zenon_L1078_ *) % 1.14/1.30 assert (zenon_L1079_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H183 zenon_H178 zenon_H71 zenon_H69 zenon_H161 zenon_H173 zenon_H107 zenon_H3a zenon_H1c3 zenon_H242 zenon_H1e7 zenon_H22 zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H29f zenon_H29d zenon_Hce zenon_H119 zenon_H167 zenon_H246 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H72 zenon_H6e zenon_H1d6 zenon_H28f zenon_H4e zenon_H50 zenon_H26 zenon_H22e zenon_H138 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.30 apply (zenon_L1073_); trivial. % 1.14/1.30 apply (zenon_L468_); trivial. % 1.14/1.30 (* end of lemma zenon_L1079_ *) % 1.14/1.30 assert (zenon_L1080_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H195 zenon_H184 zenon_H138 zenon_H4e zenon_Hf9 zenon_H107 zenon_Hac zenon_H1c3 zenon_H157 zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H119 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.30 apply (zenon_L1072_); trivial. % 1.14/1.30 apply (zenon_L454_); trivial. % 1.14/1.30 (* end of lemma zenon_L1080_ *) % 1.14/1.30 assert (zenon_L1081_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H195 zenon_H184 zenon_H119 zenon_Hac zenon_H1c3 zenon_H157 zenon_H21f zenon_H21e zenon_H159 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H216 zenon_H107 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.30 apply (zenon_L1072_); trivial. % 1.14/1.30 apply (zenon_L516_); trivial. % 1.14/1.30 (* end of lemma zenon_L1081_ *) % 1.14/1.30 assert (zenon_L1082_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H1f3 zenon_H198 zenon_H119 zenon_Hac zenon_H1c3 zenon_H157 zenon_H21f zenon_H21e zenon_H159 zenon_H216 zenon_H107 zenon_H184 zenon_Ha8 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H244 zenon_H183. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.31 apply (zenon_L1076_); trivial. % 1.14/1.31 apply (zenon_L1081_); trivial. % 1.14/1.31 (* end of lemma zenon_L1082_ *) % 1.14/1.31 assert (zenon_L1083_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H183 zenon_H178 zenon_H71 zenon_H69 zenon_H107 zenon_H1e7 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H119 zenon_H3a zenon_H242 zenon_H22 zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H29f zenon_H29d zenon_Hce zenon_H167 zenon_H246 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H72 zenon_H6e zenon_H1d6 zenon_H28f zenon_H4e zenon_H50 zenon_H26 zenon_H22e zenon_H138 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.31 apply (zenon_L1073_); trivial. % 1.14/1.31 apply (zenon_L473_); trivial. % 1.14/1.31 (* end of lemma zenon_L1083_ *) % 1.14/1.31 assert (zenon_L1084_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H183 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H119 zenon_H72 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H26 zenon_H22 zenon_H193 zenon_H36 zenon_H3a zenon_H107 zenon_H50 zenon_H4e zenon_H246 zenon_H69 zenon_H6e zenon_H71 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.31 apply (zenon_L1073_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_L1072_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.31 apply (zenon_L484_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.31 apply (zenon_L83_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.31 apply (zenon_L266_); trivial. % 1.14/1.31 apply (zenon_L482_); trivial. % 1.14/1.31 (* end of lemma zenon_L1084_ *) % 1.14/1.31 assert (zenon_L1085_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H195 zenon_H184 zenon_H119 zenon_Hac zenon_H157 zenon_H21f zenon_H21e zenon_H159 zenon_Hf9 zenon_H4e zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H107 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_L1072_); trivial. % 1.14/1.31 apply (zenon_L497_); trivial. % 1.14/1.31 (* end of lemma zenon_L1085_ *) % 1.14/1.31 assert (zenon_L1086_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H198 zenon_Hac zenon_H157 zenon_H21f zenon_H21e zenon_H159 zenon_Hf9 zenon_H184 zenon_Ha8 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H71 zenon_H6e zenon_H69 zenon_H246 zenon_H4e zenon_H50 zenon_H107 zenon_H3a zenon_H36 zenon_H193 zenon_H22 zenon_H26 zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H72 zenon_H119 zenon_H1d5 zenon_H242 zenon_H179 zenon_H266 zenon_H183. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.31 apply (zenon_L1084_); trivial. % 1.14/1.31 apply (zenon_L1085_); trivial. % 1.14/1.31 (* end of lemma zenon_L1086_ *) % 1.14/1.31 assert (zenon_L1087_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2287))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H183 zenon_H119 zenon_H1c3 zenon_H21c zenon_H1d9 zenon_H1da zenon_H234 zenon_H107 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.31 apply (zenon_L1073_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_L1072_); trivial. % 1.14/1.31 apply (zenon_L670_); trivial. % 1.14/1.31 (* end of lemma zenon_L1087_ *) % 1.14/1.31 assert (zenon_L1088_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H198 zenon_Hac zenon_H157 zenon_H21f zenon_H21e zenon_H159 zenon_Hf9 zenon_H4e zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H184 zenon_Ha8 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H107 zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H1c3 zenon_H119 zenon_H183. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.31 apply (zenon_L1087_); trivial. % 1.14/1.31 apply (zenon_L1085_); trivial. % 1.14/1.31 (* end of lemma zenon_L1088_ *) % 1.14/1.31 assert (zenon_L1089_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H180 zenon_H184 zenon_H119 zenon_H1c3 zenon_H238 zenon_H239 zenon_H237 zenon_H1e7 zenon_H107 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_L1072_); trivial. % 1.14/1.31 apply (zenon_L501_); trivial. % 1.14/1.31 (* end of lemma zenon_L1089_ *) % 1.14/1.31 assert (zenon_L1090_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H183 zenon_H119 zenon_H1c3 zenon_H238 zenon_H239 zenon_H237 zenon_H1e7 zenon_H107 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.31 apply (zenon_L1073_); trivial. % 1.14/1.31 apply (zenon_L1089_); trivial. % 1.14/1.31 (* end of lemma zenon_L1090_ *) % 1.14/1.31 assert (zenon_L1091_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H198 zenon_H138 zenon_H4e zenon_Hf9 zenon_Hac zenon_H157 zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H184 zenon_Ha8 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H107 zenon_H1e7 zenon_H237 zenon_H239 zenon_H238 zenon_H1c3 zenon_H119 zenon_H183. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.31 apply (zenon_L1090_); trivial. % 1.14/1.31 apply (zenon_L1080_); trivial. % 1.14/1.31 (* end of lemma zenon_L1091_ *) % 1.14/1.31 assert (zenon_L1092_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp12)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H183 zenon_H244 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_Ha8 zenon_H31 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H184. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.31 apply (zenon_L1020_); trivial. % 1.14/1.31 apply (zenon_L505_); trivial. % 1.14/1.31 (* end of lemma zenon_L1092_ *) % 1.14/1.31 assert (zenon_L1093_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1f0 zenon_H184 zenon_H119 zenon_H1c3 zenon_H238 zenon_H239 zenon_H237 zenon_H1e7 zenon_H107 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_L1072_); trivial. % 1.14/1.31 apply (zenon_L508_); trivial. % 1.14/1.31 (* end of lemma zenon_L1093_ *) % 1.14/1.31 assert (zenon_L1094_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.31 do 0 intro. intros zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H165 zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H85 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H12c zenon_H12d zenon_H12e zenon_H244 zenon_H72 zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.31 apply (zenon_L996_); trivial. % 1.14/1.31 apply (zenon_L238_); trivial. % 1.14/1.31 (* end of lemma zenon_L1094_ *) % 1.14/1.31 assert (zenon_L1095_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (c2_1 (a2299)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H178 zenon_H173 zenon_Hed zenon_Hde zenon_H71 zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_Hf zenon_Hb zenon_H9 zenon_H22 zenon_H26 zenon_H12c zenon_H12d zenon_H12e zenon_H244 zenon_H72 zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_Hef zenon_Hf1 zenon_H138. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.31 apply (zenon_L1094_); trivial. % 1.14/1.31 apply (zenon_L109_); trivial. % 1.14/1.31 apply (zenon_L113_); trivial. % 1.14/1.31 (* end of lemma zenon_L1095_ *) % 1.14/1.31 assert (zenon_L1096_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H180 zenon_H184 zenon_H119 zenon_H114 zenon_H45 zenon_H112 zenon_H107 zenon_H138 zenon_Hf1 zenon_Hef zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_H72 zenon_H244 zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H7f zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H71 zenon_Hde zenon_Hed zenon_H173 zenon_H178. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_L1095_); trivial. % 1.14/1.31 apply (zenon_L136_); trivial. % 1.14/1.31 (* end of lemma zenon_L1096_ *) % 1.14/1.31 assert (zenon_L1097_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.31 do 0 intro. intros zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H165 zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H185 zenon_H186 zenon_H187 zenon_H159 zenon_H15b zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.31 apply (zenon_L996_); trivial. % 1.14/1.31 apply (zenon_L536_); trivial. % 1.14/1.31 (* end of lemma zenon_L1097_ *) % 1.14/1.31 assert (zenon_L1098_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H178 zenon_H173 zenon_Hed zenon_Hde zenon_H71 zenon_Hf8 zenon_Hf3 zenon_H167 zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H185 zenon_H186 zenon_H187 zenon_H159 zenon_H15b zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_Hef zenon_Hf1 zenon_H138. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.31 apply (zenon_L1097_); trivial. % 1.14/1.31 apply (zenon_L109_); trivial. % 1.14/1.31 apply (zenon_L113_); trivial. % 1.14/1.31 (* end of lemma zenon_L1098_ *) % 1.14/1.31 assert (zenon_L1099_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1f9 zenon_H15b zenon_H159 zenon_H2bc zenon_H183 zenon_H138 zenon_Hf1 zenon_Hef zenon_H72 zenon_H244 zenon_H26 zenon_H22 zenon_H9 zenon_Hf zenon_Hac zenon_H157 zenon_H242 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H167 zenon_H71 zenon_Hed zenon_H173 zenon_H178 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_Ha8 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H107 zenon_H112 zenon_H45 zenon_H114 zenon_H119 zenon_H184 zenon_H47 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H198. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.31 apply (zenon_L1000_); trivial. % 1.14/1.31 apply (zenon_L1096_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.31 apply (zenon_L520_); trivial. % 1.14/1.31 apply (zenon_L1096_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_L1098_); trivial. % 1.14/1.31 apply (zenon_L136_); trivial. % 1.14/1.31 (* end of lemma zenon_L1099_ *) % 1.14/1.31 assert (zenon_L1100_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.31 do 0 intro. intros zenon_Hf8 zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.31 apply (zenon_L996_); trivial. % 1.14/1.31 apply (zenon_L524_); trivial. % 1.14/1.31 (* end of lemma zenon_L1100_ *) % 1.14/1.31 assert (zenon_L1101_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_Hf8. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_L1100_); trivial. % 1.14/1.31 apply (zenon_L126_); trivial. % 1.14/1.31 (* end of lemma zenon_L1101_ *) % 1.14/1.31 assert (zenon_L1102_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H183 zenon_H36 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H69 zenon_H71 zenon_Hf8 zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.31 apply (zenon_L1101_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_L1100_); trivial. % 1.14/1.31 apply (zenon_L546_); trivial. % 1.14/1.31 (* end of lemma zenon_L1102_ *) % 1.14/1.31 assert (zenon_L1103_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_Hf8. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_L1100_); trivial. % 1.14/1.31 apply (zenon_L116_); trivial. % 1.14/1.31 (* end of lemma zenon_L1103_ *) % 1.14/1.31 assert (zenon_L1104_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H195 zenon_H183 zenon_H244 zenon_Hbb zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H45 zenon_H47 zenon_H72. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.31 apply (zenon_L520_); trivial. % 1.14/1.31 apply (zenon_L505_); trivial. % 1.14/1.31 (* end of lemma zenon_L1104_ *) % 1.14/1.31 assert (zenon_L1105_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1f3 zenon_H198 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H47 zenon_H72 zenon_H184 zenon_H119 zenon_H114 zenon_H45 zenon_H112 zenon_H107 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_Ha8 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H244 zenon_H183. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.31 apply (zenon_L1000_); trivial. % 1.14/1.31 apply (zenon_L505_); trivial. % 1.14/1.31 apply (zenon_L1104_); trivial. % 1.14/1.31 (* end of lemma zenon_L1105_ *) % 1.14/1.31 assert (zenon_L1106_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_H72 zenon_H3a zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.31 apply (zenon_L996_); trivial. % 1.14/1.31 apply (zenon_L553_); trivial. % 1.14/1.31 (* end of lemma zenon_L1106_ *) % 1.14/1.31 assert (zenon_L1107_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H3a zenon_H1e7 zenon_H242 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.31 apply (zenon_L996_); trivial. % 1.14/1.31 apply (zenon_L556_); trivial. % 1.14/1.31 (* end of lemma zenon_L1107_ *) % 1.14/1.31 assert (zenon_L1108_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (c0_1 (a2294)) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H195 zenon_H184 zenon_H119 zenon_H114 zenon_H45 zenon_H107 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H1ee zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_H15b zenon_H159 zenon_H187 zenon_H186 zenon_H185 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_Hac zenon_Hbd zenon_Hbb zenon_H157 zenon_H242 zenon_H87 zenon_H9 zenon_H161 zenon_H163 zenon_Hce zenon_H3a zenon_H7f zenon_H167 zenon_Hf3 zenon_Hf8 zenon_H1e7 zenon_H178. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.31 apply (zenon_L1097_); trivial. % 1.14/1.31 apply (zenon_L1106_); trivial. % 1.14/1.31 apply (zenon_L1107_); trivial. % 1.14/1.31 apply (zenon_L136_); trivial. % 1.14/1.31 (* end of lemma zenon_L1108_ *) % 1.14/1.31 assert (zenon_L1109_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(hskp15)) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_Hf4 zenon_H71 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_Hed zenon_H1d6 zenon_H6e zenon_H3a zenon_H72 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_H165 zenon_H85 zenon_H167 zenon_Hf3. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.31 apply (zenon_L1041_); trivial. % 1.14/1.31 apply (zenon_L645_); trivial. % 1.14/1.31 (* end of lemma zenon_L1109_ *) % 1.14/1.31 assert (zenon_L1110_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H195 zenon_H184 zenon_H119 zenon_H114 zenon_H45 zenon_H107 zenon_H138 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf3 zenon_H167 zenon_H7f zenon_H20d zenon_H202 zenon_H201 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H72 zenon_H3a zenon_H6e zenon_H1d6 zenon_Hed zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H178. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.31 apply (zenon_L996_); trivial. % 1.14/1.31 apply (zenon_L1109_); trivial. % 1.14/1.31 apply (zenon_L1106_); trivial. % 1.14/1.31 apply (zenon_L1107_); trivial. % 1.14/1.31 apply (zenon_L136_); trivial. % 1.14/1.31 (* end of lemma zenon_L1110_ *) % 1.14/1.31 assert (zenon_L1111_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H198 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H45 zenon_H47 zenon_H72 zenon_H184 zenon_Ha8 zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H138 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H244 zenon_H183. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.31 apply (zenon_L1017_); trivial. % 1.14/1.31 apply (zenon_L126_); trivial. % 1.14/1.31 apply (zenon_L505_); trivial. % 1.14/1.31 apply (zenon_L1104_); trivial. % 1.14/1.31 (* end of lemma zenon_L1111_ *) % 1.14/1.31 assert (zenon_L1112_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H183 zenon_H244 zenon_Hbb zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_Hf8 zenon_H3a zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.31 apply (zenon_L1101_); trivial. % 1.14/1.31 apply (zenon_L505_); trivial. % 1.14/1.31 (* end of lemma zenon_L1112_ *) % 1.14/1.31 assert (zenon_L1113_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1f0 zenon_H198 zenon_H17c zenon_H184 zenon_Ha8 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H2ba zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_Hf8 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_Hbb zenon_H244 zenon_H183. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.31 apply (zenon_L1112_); trivial. % 1.14/1.31 apply (zenon_L1103_); trivial. % 1.14/1.31 (* end of lemma zenon_L1113_ *) % 1.14/1.31 assert (zenon_L1114_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.31 do 0 intro. intros zenon_Hf8 zenon_H15b zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.31 apply (zenon_L996_); trivial. % 1.14/1.31 apply (zenon_L604_); trivial. % 1.14/1.31 (* end of lemma zenon_L1114_ *) % 1.14/1.31 assert (zenon_L1115_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (~(c3_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c0_1 (a2304))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H15c zenon_H6e zenon_H1d6 zenon_H3e zenon_H3d zenon_H3c zenon_H11c zenon_H11b zenon_H11a zenon_H1c7 zenon_H112 zenon_H74 zenon_H75 zenon_H76 zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H242 zenon_H1d5. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.14/1.31 apply (zenon_L388_); trivial. % 1.14/1.31 apply (zenon_L152_); trivial. % 1.14/1.31 (* end of lemma zenon_L1115_ *) % 1.14/1.31 assert (zenon_L1116_ : ((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(c0_1 (a2304))) -> (~(c2_1 (a2304))) -> (~(c3_1 (a2304))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H49 zenon_H15b zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H76 zenon_H75 zenon_H74 zenon_H112 zenon_H1c7 zenon_H11a zenon_H11b zenon_H11c zenon_H1d6 zenon_H6e zenon_H3a. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.31 apply (zenon_L528_); trivial. % 1.14/1.31 apply (zenon_L551_); trivial. % 1.14/1.31 apply (zenon_L1115_); trivial. % 1.14/1.31 (* end of lemma zenon_L1116_ *) % 1.14/1.31 assert (zenon_L1117_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_H72 zenon_H15b zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H2bc zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H3a zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.31 apply (zenon_L996_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.31 apply (zenon_L519_); trivial. % 1.14/1.31 apply (zenon_L1116_); trivial. % 1.14/1.31 (* end of lemma zenon_L1117_ *) % 1.14/1.31 assert (zenon_L1118_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H195 zenon_H184 zenon_H119 zenon_H114 zenon_H45 zenon_H107 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H3a zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2bc zenon_H1e5 zenon_H15b zenon_H72 zenon_Hf8 zenon_H138. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.32 apply (zenon_L210_); trivial. % 1.14/1.32 apply (zenon_L1117_); trivial. % 1.14/1.32 apply (zenon_L136_); trivial. % 1.14/1.32 (* end of lemma zenon_L1118_ *) % 1.14/1.32 assert (zenon_L1119_ : ((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H219 zenon_H198 zenon_H184 zenon_H119 zenon_H114 zenon_H45 zenon_H107 zenon_Hf3 zenon_Hde zenon_Hbb zenon_Hed zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H3a zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H242 zenon_H1d5 zenon_H2bc zenon_H15b zenon_H72 zenon_Hf8 zenon_H138 zenon_H1e5 zenon_H112 zenon_H21f zenon_H21e zenon_H21d zenon_H234. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.32 apply (zenon_L226_); trivial. % 1.14/1.32 apply (zenon_L1118_); trivial. % 1.14/1.32 (* end of lemma zenon_L1119_ *) % 1.14/1.32 assert (zenon_L1120_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H195 zenon_H184 zenon_H178 zenon_H1e5 zenon_H1e7 zenon_H119 zenon_H167 zenon_H15f zenon_H107 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H159 zenon_H15b zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H1ee zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.32 apply (zenon_L530_); trivial. % 1.14/1.32 apply (zenon_L1106_); trivial. % 1.14/1.32 apply (zenon_L628_); trivial. % 1.14/1.32 (* end of lemma zenon_L1120_ *) % 1.14/1.32 assert (zenon_L1121_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1f0 zenon_H198 zenon_H178 zenon_H1e5 zenon_H1e7 zenon_H119 zenon_H167 zenon_H15f zenon_H107 zenon_Hf3 zenon_Hde zenon_H7f zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_H2bc zenon_H159 zenon_H15b zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H1ee zenon_H1d6 zenon_H72 zenon_H138 zenon_H184 zenon_Ha8 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H2ba zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H3a zenon_Hf8 zenon_H71 zenon_H69 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H36 zenon_H183. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.32 apply (zenon_L1102_); trivial. % 1.14/1.32 apply (zenon_L1120_); trivial. % 1.14/1.32 (* end of lemma zenon_L1121_ *) % 1.14/1.32 assert (zenon_L1122_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H198 zenon_H17c zenon_H179 zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H242 zenon_H157 zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H159 zenon_H15b zenon_Hef zenon_Hf1 zenon_H138 zenon_H184 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Ha8 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H244 zenon_H183. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.32 apply (zenon_L1092_); trivial. % 1.14/1.32 apply (zenon_L532_); trivial. % 1.14/1.32 (* end of lemma zenon_L1122_ *) % 1.14/1.32 assert (zenon_L1123_ : ((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1fb zenon_H198 zenon_H1ee zenon_H184 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Ha8 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H178 zenon_H173 zenon_Hed zenon_H71 zenon_H167 zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H242 zenon_H157 zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H159 zenon_H15b zenon_Hef zenon_Hf1 zenon_H138 zenon_H6e zenon_H69 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H107 zenon_H36 zenon_H15f zenon_H119 zenon_H112 zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H22 zenon_H1d6 zenon_H72 zenon_H183. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.32 apply (zenon_L1020_); trivial. % 1.14/1.32 apply (zenon_L582_); trivial. % 1.14/1.32 apply (zenon_L581_); trivial. % 1.14/1.32 (* end of lemma zenon_L1123_ *) % 1.14/1.32 assert (zenon_L1124_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(c1_1 (a2287))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1f0 zenon_H198 zenon_H184 zenon_H178 zenon_H1e5 zenon_H1e7 zenon_H119 zenon_H167 zenon_H15f zenon_H107 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H242 zenon_H157 zenon_Hbb zenon_Hbd zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H159 zenon_H15b zenon_Hf5 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H1ee zenon_H2ba zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138 zenon_H21c zenon_H1d9 zenon_H1da zenon_H234. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.32 apply (zenon_L345_); trivial. % 1.14/1.32 apply (zenon_L1120_); trivial. % 1.14/1.32 (* end of lemma zenon_L1124_ *) % 1.14/1.32 assert (zenon_L1125_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1f3 zenon_H198 zenon_H178 zenon_H71 zenon_H26 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H246 zenon_H173 zenon_H119 zenon_H167 zenon_H15f zenon_H107 zenon_H3a zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H242 zenon_H157 zenon_Hac zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H2bc zenon_H159 zenon_H15b zenon_H1ee zenon_H1d6 zenon_H72 zenon_H138 zenon_H184 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Ha8 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H244 zenon_H183. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.32 apply (zenon_L1092_); trivial. % 1.14/1.32 apply (zenon_L587_); trivial. % 1.14/1.32 (* end of lemma zenon_L1125_ *) % 1.14/1.32 assert (zenon_L1126_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_H167 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_Hed zenon_H1d6 zenon_H6e zenon_H3a zenon_H72 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H2e4 zenon_H138. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.32 apply (zenon_L229_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.32 apply (zenon_L1015_); trivial. % 1.14/1.32 apply (zenon_L645_); trivial. % 1.14/1.32 apply (zenon_L1106_); trivial. % 1.14/1.32 apply (zenon_L557_); trivial. % 1.14/1.32 (* end of lemma zenon_L1126_ *) % 1.14/1.32 assert (zenon_L1127_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H195 zenon_H184 zenon_H1e5 zenon_H119 zenon_H15f zenon_Hac zenon_H159 zenon_H157 zenon_H87 zenon_H29d zenon_H29f zenon_Hce zenon_H15b zenon_H107 zenon_H26 zenon_H50 zenon_H4e zenon_H246 zenon_H138 zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf3 zenon_Hde zenon_H7f zenon_H20d zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H72 zenon_H3a zenon_H6e zenon_H1d6 zenon_Hed zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H167 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H178. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.32 apply (zenon_L1126_); trivial. % 1.14/1.32 apply (zenon_L562_); trivial. % 1.14/1.32 (* end of lemma zenon_L1127_ *) % 1.14/1.32 assert (zenon_L1128_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H183 zenon_H244 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_H7f zenon_H20d zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8 zenon_H31 zenon_Ha8 zenon_H184. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.32 apply (zenon_L1039_); trivial. % 1.14/1.32 apply (zenon_L505_); trivial. % 1.14/1.32 (* end of lemma zenon_L1128_ *) % 1.14/1.32 assert (zenon_L1129_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H138 zenon_H72 zenon_H244 zenon_H1d6 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H13a zenon_H13b zenon_H13c zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_Hf3 zenon_Hde zenon_H7f zenon_H20d zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_Hf1 zenon_Hef zenon_H9 zenon_Hed zenon_H71 zenon_Hf8. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.32 apply (zenon_L1037_); trivial. % 1.14/1.32 apply (zenon_L576_); trivial. % 1.14/1.32 (* end of lemma zenon_L1129_ *) % 1.14/1.32 assert (zenon_L1130_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H198 zenon_H17c zenon_H179 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d6 zenon_H72 zenon_H184 zenon_Ha8 zenon_Hf8 zenon_H71 zenon_Hed zenon_H9 zenon_Hef zenon_Hf1 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H201 zenon_H202 zenon_H20d zenon_H7f zenon_Hde zenon_Hf3 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H138 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H244 zenon_H183. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.32 apply (zenon_L1128_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.32 apply (zenon_L1129_); trivial. % 1.14/1.32 apply (zenon_L116_); trivial. % 1.14/1.32 (* end of lemma zenon_L1130_ *) % 1.14/1.32 assert (zenon_L1131_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp28)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H216 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H33 zenon_H12 zenon_H201 zenon_H202 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H20d zenon_H81. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 1.14/1.32 apply (zenon_L133_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 1.14/1.32 apply (zenon_L1012_); trivial. % 1.14/1.32 exact (zenon_H81 zenon_H82). % 1.14/1.32 (* end of lemma zenon_L1131_ *) % 1.14/1.32 assert (zenon_L1132_ : ((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H116 zenon_Hac zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H216. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.32 apply (zenon_L1131_); trivial. % 1.14/1.32 apply (zenon_L1049_); trivial. % 1.14/1.32 (* end of lemma zenon_L1132_ *) % 1.14/1.32 assert (zenon_L1133_ : ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H119 zenon_Hac zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H20d zenon_H33 zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H216 zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.32 apply (zenon_L83_); trivial. % 1.14/1.32 apply (zenon_L1132_); trivial. % 1.14/1.32 (* end of lemma zenon_L1133_ *) % 1.14/1.32 assert (zenon_L1134_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (ndr1_0) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H138 zenon_H119 zenon_Hac zenon_H1c3 zenon_H13a zenon_H13b zenon_H13c zenon_H157 zenon_Hbb zenon_H159 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H20d zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H216 zenon_H12 zenon_H123 zenon_H124 zenon_H125 zenon_H107 zenon_H72 zenon_H244 zenon_Hed zenon_H239 zenon_H237 zenon_H238 zenon_H1d6 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H165 zenon_H167 zenon_Hf3 zenon_H71. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.32 apply (zenon_L1133_); trivial. % 1.14/1.32 apply (zenon_L651_); trivial. % 1.14/1.32 apply (zenon_L576_); trivial. % 1.14/1.32 (* end of lemma zenon_L1134_ *) % 1.14/1.32 assert (zenon_L1135_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1f0 zenon_H198 zenon_H26 zenon_H1e5 zenon_H246 zenon_H107 zenon_H216 zenon_H159 zenon_H157 zenon_H1c3 zenon_Hac zenon_H119 zenon_H138 zenon_H2e4 zenon_H20d zenon_H202 zenon_H201 zenon_H72 zenon_H3a zenon_H6e zenon_H1d6 zenon_Hed zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2ba zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H167 zenon_H71 zenon_H1e7 zenon_H178 zenon_H184 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Ha8 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H244 zenon_H183. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.32 apply (zenon_L1092_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.32 apply (zenon_L1126_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.32 apply (zenon_L1134_); trivial. % 1.14/1.32 apply (zenon_L325_); trivial. % 1.14/1.32 (* end of lemma zenon_L1135_ *) % 1.14/1.32 assert (zenon_L1136_ : ((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2342))) -> (c0_1 (a2342)) -> (c3_1 (a2342)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2302))) -> (c2_1 (a2302)) -> (c3_1 (a2302)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> False). % 1.14/1.32 do 0 intro. intros zenon_Hc9 zenon_Hac zenon_H74 zenon_H75 zenon_H76 zenon_H28 zenon_H29 zenon_H2a zenon_H157 zenon_H242 zenon_H1c3 zenon_H123 zenon_H124 zenon_H125 zenon_H201 zenon_H202 zenon_H33 zenon_H20d zenon_H10b zenon_H10a zenon_H109 zenon_H216. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.32 apply (zenon_L196_); trivial. % 1.14/1.32 apply (zenon_L600_); trivial. % 1.14/1.32 (* end of lemma zenon_L1136_ *) % 1.14/1.32 assert (zenon_L1137_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H35 zenon_H1e7 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H112 zenon_H1d9 zenon_H1da zenon_H21d zenon_H21e zenon_H21f zenon_H1e5 zenon_H16a zenon_H16b zenon_H16c. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 1.14/1.32 apply (zenon_L291_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 1.14/1.32 apply (zenon_L225_); trivial. % 1.14/1.32 apply (zenon_L110_); trivial. % 1.14/1.32 (* end of lemma zenon_L1137_ *) % 1.14/1.32 assert (zenon_L1138_ : ((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(hskp3)) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H68 zenon_H1e7 zenon_H112 zenon_H1d9 zenon_H1da zenon_H21d zenon_H21e zenon_H21f zenon_H1e5 zenon_H16a zenon_H16b zenon_H16c. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H12. zenon_intro zenon_H6a. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H54. zenon_intro zenon_H6b. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H55. zenon_intro zenon_H53. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 1.14/1.32 apply (zenon_L28_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 1.14/1.32 apply (zenon_L225_); trivial. % 1.14/1.32 apply (zenon_L110_); trivial. % 1.14/1.32 (* end of lemma zenon_L1138_ *) % 1.14/1.32 assert (zenon_L1139_ : ((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2303)) -> (c1_1 (a2303)) -> (~(c3_1 (a2303))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H15c zenon_H6e zenon_H1e7 zenon_H16c zenon_H16b zenon_H16a zenon_H1d9 zenon_H1da zenon_H1c7 zenon_H112 zenon_H74 zenon_H75 zenon_H76 zenon_H1e5 zenon_H21f zenon_H21e zenon_H21d zenon_H242 zenon_H1d5. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H68 ]. % 1.14/1.32 apply (zenon_L388_); trivial. % 1.14/1.32 apply (zenon_L1138_); trivial. % 1.14/1.32 (* end of lemma zenon_L1139_ *) % 1.14/1.32 assert (zenon_L1140_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H15b zenon_H6e zenon_H1c7 zenon_H1d5 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H242 zenon_H1e5 zenon_H112 zenon_H1da zenon_H1d9 zenon_H21f zenon_H21e zenon_H21d zenon_H1e7 zenon_H3a zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.32 apply (zenon_L229_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.32 apply (zenon_L528_); trivial. % 1.14/1.32 apply (zenon_L1137_); trivial. % 1.14/1.32 apply (zenon_L1139_); trivial. % 1.14/1.32 (* end of lemma zenon_L1140_ *) % 1.14/1.32 assert (zenon_L1141_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (ndr1_0) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H178 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Hf3 zenon_H167 zenon_H12 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H13c zenon_H13b zenon_H13a zenon_H3a zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H2bc zenon_H1e5 zenon_H15b zenon_H72 zenon_Hf8 zenon_H138. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.32 apply (zenon_L395_); trivial. % 1.14/1.32 apply (zenon_L1117_); trivial. % 1.14/1.32 apply (zenon_L1140_); trivial. % 1.14/1.32 (* end of lemma zenon_L1141_ *) % 1.14/1.32 assert (zenon_L1142_ : ((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> (~(c3_1 (a2285))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H219 zenon_H198 zenon_H184 zenon_H246 zenon_H26 zenon_H138 zenon_Hf8 zenon_H72 zenon_H15b zenon_H2bc zenon_H1d5 zenon_H242 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H3a zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hed zenon_H167 zenon_Hf3 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H1e7 zenon_H178 zenon_H1e5 zenon_H112 zenon_H21f zenon_H21e zenon_H21d zenon_H234. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.32 apply (zenon_L226_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.32 apply (zenon_L1141_); trivial. % 1.14/1.32 apply (zenon_L991_); trivial. % 1.14/1.32 (* end of lemma zenon_L1142_ *) % 1.14/1.32 assert (zenon_L1143_ : ((ndr1_0)/\((c0_1 (a2285))/\((c1_1 (a2285))/\(~(c3_1 (a2285)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a2286))/\((~(c0_1 (a2286)))/\(~(c2_1 (a2286))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H27f zenon_H280 zenon_H107 zenon_H20d zenon_H1c3 zenon_H119 zenon_H1f8 zenon_Hde zenon_H1ee zenon_Hbb zenon_H244 zenon_H183 zenon_H178 zenon_H173 zenon_H69 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hed zenon_H22e zenon_H26 zenon_H50 zenon_H246 zenon_H1d6 zenon_H72 zenon_H138 zenon_Hf8 zenon_H15b zenon_H1e5 zenon_H2bc zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H1d5 zenon_H242 zenon_H112 zenon_H1c7 zenon_H266 zenon_H6e zenon_H3a zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Ha8 zenon_H184 zenon_H17c zenon_H198 zenon_H234 zenon_H1e7 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H218. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.14/1.32 apply (zenon_L611_); trivial. % 1.14/1.32 apply (zenon_L1142_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.14/1.32 apply (zenon_L613_); trivial. % 1.14/1.32 apply (zenon_L1142_); trivial. % 1.14/1.32 (* end of lemma zenon_L1143_ *) % 1.14/1.32 assert (zenon_L1144_ : ((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(c2_1 (a2342))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp1)) -> False). % 1.14/1.32 do 0 intro. intros zenon_Ha7 zenon_H244 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H28 zenon_H2a zenon_H29 zenon_H157 zenon_H74 zenon_H75 zenon_H76 zenon_H242 zenon_H109 zenon_H10a zenon_H10b zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H3e zenon_H3d zenon_H3c zenon_H239 zenon_H237 zenon_H238 zenon_H1c3 zenon_Hbb. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 1.14/1.32 apply (zenon_L133_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.14/1.32 apply (zenon_L634_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.14/1.32 apply (zenon_L75_); trivial. % 1.14/1.32 apply (zenon_L233_); trivial. % 1.14/1.32 exact (zenon_Hbb zenon_Hbc). % 1.14/1.32 (* end of lemma zenon_L1144_ *) % 1.14/1.32 assert (zenon_L1145_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (c3_1 (a2327)) -> (~(c2_1 (a2327))) -> (~(c0_1 (a2327))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a2342)) -> (c0_1 (a2342)) -> (~(c2_1 (a2342))) -> (~(c3_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c1_1 (a2306))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> (~(hskp26)) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> False). % 1.14/1.32 do 0 intro. intros zenon_Hac zenon_H244 zenon_Hbb zenon_H1d6 zenon_H238 zenon_H237 zenon_H239 zenon_H3e zenon_H3d zenon_H3c zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H109 zenon_H10a zenon_H10b zenon_H242 zenon_H157 zenon_H2a zenon_H29 zenon_H28 zenon_H76 zenon_H75 zenon_H74 zenon_H1c3 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H83 zenon_H85 zenon_H87. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.32 apply (zenon_L40_); trivial. % 1.14/1.32 apply (zenon_L1144_); trivial. % 1.14/1.32 (* end of lemma zenon_L1145_ *) % 1.14/1.32 assert (zenon_L1146_ : ((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a2306))) -> (~(c2_1 (a2306))) -> (~(c3_1 (a2306))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c3_1 (a2323)) -> (c2_1 (a2323)) -> (~(c1_1 (a2323))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> (~(c0_1 (a2327))) -> (~(c2_1 (a2327))) -> (c3_1 (a2327)) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H35 zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H85 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1c3 zenon_H74 zenon_H75 zenon_H76 zenon_H157 zenon_H242 zenon_H10b zenon_H10a zenon_H109 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H3c zenon_H3d zenon_H3e zenon_H239 zenon_H237 zenon_H238 zenon_H1d6 zenon_Hbb zenon_H244 zenon_Hac. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.14/1.32 apply (zenon_L1145_); trivial. % 1.14/1.32 apply (zenon_L103_); trivial. % 1.14/1.32 (* end of lemma zenon_L1146_ *) % 1.14/1.32 assert (zenon_L1147_ : ((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> (~(c1_1 (a2295))) -> (~(c3_1 (a2295))) -> (c0_1 (a2295)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_Hf4 zenon_H119 zenon_H72 zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1c3 zenon_H157 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H239 zenon_H237 zenon_H238 zenon_H1d6 zenon_Hbb zenon_H244 zenon_Hac zenon_H13a zenon_H13b zenon_H13c zenon_H1ee zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H26a zenon_H85 zenon_H242 zenon_H107 zenon_H26 zenon_H3a. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.32 apply (zenon_L548_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.32 apply (zenon_L519_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.33 apply (zenon_L523_); trivial. % 1.14/1.33 apply (zenon_L1146_); trivial. % 1.14/1.33 (* end of lemma zenon_L1147_ *) % 1.14/1.33 assert (zenon_L1148_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(c0_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c2_1 (a2291))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H195 zenon_H184 zenon_H159 zenon_Hf8 zenon_H119 zenon_H72 zenon_Hce zenon_H163 zenon_H161 zenon_H9 zenon_H87 zenon_H1a7 zenon_H1a8 zenon_H1a9 zenon_H1c3 zenon_H157 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_Hbb zenon_H244 zenon_Hac zenon_H1ee zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H26a zenon_H242 zenon_H107 zenon_H26 zenon_H3a zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H1d5 zenon_H112 zenon_H1c7 zenon_H6e zenon_H138. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.33 apply (zenon_L229_); trivial. % 1.14/1.33 apply (zenon_L1147_); trivial. % 1.14/1.33 apply (zenon_L1106_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.33 apply (zenon_L83_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.33 apply (zenon_L519_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.14/1.33 apply (zenon_L523_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.33 apply (zenon_L40_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H12. zenon_intro zenon_Ha9. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H9a. zenon_intro zenon_Haa. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H9b. zenon_intro zenon_H9c. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H245 ]. % 1.14/1.33 apply (zenon_L133_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H89 | zenon_intro zenon_Hbc ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.14/1.33 apply (zenon_L634_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.14/1.33 apply (zenon_L75_); trivial. % 1.14/1.33 apply (zenon_L144_); trivial. % 1.14/1.33 exact (zenon_Hbb zenon_Hbc). % 1.14/1.33 apply (zenon_L103_); trivial. % 1.14/1.33 apply (zenon_L576_); trivial. % 1.14/1.33 (* end of lemma zenon_L1148_ *) % 1.14/1.33 assert (zenon_L1149_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c3_1 (a2293))) -> (c0_1 (a2293)) -> (c2_1 (a2293)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H195 zenon_H184 zenon_H1e5 zenon_H119 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H107 zenon_H69 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H138 zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf3 zenon_Hde zenon_H7f zenon_H20d zenon_H202 zenon_H201 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H72 zenon_H3a zenon_H6e zenon_H1d6 zenon_Hed zenon_H1c7 zenon_H112 zenon_H242 zenon_H1d5 zenon_H19a zenon_H19b zenon_H19c zenon_H2ba zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H167 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H178. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.33 apply (zenon_L1126_); trivial. % 1.14/1.33 apply (zenon_L647_); trivial. % 1.14/1.33 (* end of lemma zenon_L1149_ *) % 1.14/1.33 assert (zenon_L1150_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a2291))) -> (~(c1_1 (a2291))) -> (~(c0_1 (a2291))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp30)\/(hskp16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H195 zenon_H184 zenon_H1e5 zenon_H246 zenon_H138 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H119 zenon_H72 zenon_H244 zenon_Hbb zenon_H1d6 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H1a9 zenon_H1a8 zenon_H1a7 zenon_H1ee zenon_H2ba zenon_H19c zenon_H19b zenon_H19a zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H26a zenon_H242 zenon_H107 zenon_H26 zenon_H3a zenon_H6e zenon_Hed zenon_H1c7 zenon_H112 zenon_H1d5 zenon_H167 zenon_Hf3 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H178. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.33 apply (zenon_L659_); trivial. % 1.14/1.33 apply (zenon_L1106_); trivial. % 1.14/1.33 apply (zenon_L557_); trivial. % 1.14/1.33 apply (zenon_L653_); trivial. % 1.14/1.33 (* end of lemma zenon_L1150_ *) % 1.14/1.33 assert (zenon_L1151_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H195 zenon_H183 zenon_H184 zenon_H138 zenon_H6e zenon_H1d6 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H107 zenon_Hac zenon_H1c3 zenon_H157 zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H119 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H45 zenon_H47 zenon_H72. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.33 apply (zenon_L520_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.33 apply (zenon_L1072_); trivial. % 1.14/1.33 apply (zenon_L661_); trivial. % 1.14/1.33 (* end of lemma zenon_L1151_ *) % 1.14/1.33 assert (zenon_L1152_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp25))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1f0 zenon_H198 zenon_Hac zenon_H157 zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H1ee zenon_H45 zenon_H47 zenon_H184 zenon_Ha8 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H138 zenon_H72 zenon_H1d6 zenon_H22 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H71 zenon_H6e zenon_H69 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H2ba zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H36 zenon_H3a zenon_H167 zenon_H107 zenon_H1e7 zenon_H1c3 zenon_H119 zenon_H178 zenon_H183. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.33 apply (zenon_L1073_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.33 apply (zenon_L1072_); trivial. % 1.14/1.33 apply (zenon_L668_); trivial. % 1.14/1.33 apply (zenon_L1151_); trivial. % 1.14/1.33 (* end of lemma zenon_L1152_ *) % 1.14/1.33 assert (zenon_L1153_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1f3 zenon_H198 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H45 zenon_H47 zenon_H72 zenon_H184 zenon_Ha8 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H244 zenon_H183. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.33 apply (zenon_L1076_); trivial. % 1.14/1.33 apply (zenon_L1104_); trivial. % 1.14/1.33 (* end of lemma zenon_L1153_ *) % 1.14/1.33 assert (zenon_L1154_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((~(c0_1 X63))\/(~(c2_1 X63))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(hskp12))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> (~(c1_1 (a2287))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H198 zenon_H138 zenon_H6e zenon_H1d6 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_Hac zenon_H157 zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H45 zenon_H47 zenon_H72 zenon_H184 zenon_Ha8 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H107 zenon_H234 zenon_H1da zenon_H1d9 zenon_H21c zenon_H1c3 zenon_H119 zenon_H183. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.33 apply (zenon_L1087_); trivial. % 1.14/1.33 apply (zenon_L1151_); trivial. % 1.14/1.33 (* end of lemma zenon_L1154_ *) % 1.14/1.33 assert (zenon_L1155_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1f3 zenon_H198 zenon_H71 zenon_H72 zenon_H1d6 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H107 zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H159 zenon_H157 zenon_H1c3 zenon_Hac zenon_H119 zenon_H184 zenon_Ha8 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H244 zenon_H183. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.33 apply (zenon_L1076_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.33 apply (zenon_L1072_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.33 apply (zenon_L83_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.33 apply (zenon_L599_); trivial. % 1.14/1.33 apply (zenon_L444_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.14/1.33 apply (zenon_L83_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.14/1.33 apply (zenon_L519_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3e. zenon_intro zenon_H4b. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3c. zenon_intro zenon_H3d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.14/1.33 apply (zenon_L515_); trivial. % 1.14/1.33 apply (zenon_L434_); trivial. % 1.14/1.33 (* end of lemma zenon_L1155_ *) % 1.14/1.33 assert (zenon_L1156_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/((hskp4)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c3_1 (a2284))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2279)) -> (~(c3_1 (a2279))) -> (~(c2_1 (a2279))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1f8 zenon_H45 zenon_H47 zenon_H244 zenon_H183 zenon_H266 zenon_H179 zenon_H242 zenon_H1d5 zenon_H119 zenon_H72 zenon_H1c3 zenon_H2a1 zenon_H2a2 zenon_H2a3 zenon_H1d6 zenon_H26 zenon_H22 zenon_H193 zenon_H36 zenon_H3a zenon_H107 zenon_H50 zenon_H246 zenon_H69 zenon_H6e zenon_H71 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_H7f zenon_H286 zenon_H287 zenon_H288 zenon_Hbb zenon_Hbd zenon_Hf5 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Ha8 zenon_H184 zenon_H1ee zenon_H2b3 zenon_H2b2 zenon_H2b1 zenon_H28f zenon_H198. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.33 apply (zenon_L1084_); trivial. % 1.14/1.33 apply (zenon_L679_); trivial. % 1.14/1.33 apply (zenon_L1153_); trivial. % 1.14/1.33 (* end of lemma zenon_L1156_ *) % 1.14/1.33 assert (zenon_L1157_ : ((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H135 zenon_Hf8 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H3a zenon_Ha8 zenon_H5 zenon_H31 zenon_H242 zenon_H28f zenon_H288 zenon_H287 zenon_H286 zenon_H22 zenon_H26 zenon_H50 zenon_H4e zenon_H1d6 zenon_H6e zenon_H72 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.33 apply (zenon_L996_); trivial. % 1.14/1.33 apply (zenon_L463_); trivial. % 1.14/1.33 (* end of lemma zenon_L1157_ *) % 1.14/1.33 assert (zenon_L1158_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (ndr1_0) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp12)) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H184 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H12 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H72 zenon_H6e zenon_H1d6 zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H242 zenon_H31 zenon_H5 zenon_Ha8 zenon_H3a zenon_Hf8 zenon_H138. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.33 apply (zenon_L210_); trivial. % 1.14/1.33 apply (zenon_L1157_); trivial. % 1.14/1.33 apply (zenon_L126_); trivial. % 1.14/1.33 (* end of lemma zenon_L1158_ *) % 1.14/1.33 assert (zenon_L1159_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> (~(hskp1)) -> (ndr1_0) -> (~(c3_1 (a2285))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp30)\/(hskp21))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> (~(c3_1 (a2284))) -> (~(c1_1 (a2284))) -> (~(c0_1 (a2284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H198 zenon_Hbd zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_H184 zenon_Hf3 zenon_Hde zenon_Hbb zenon_H12 zenon_H21d zenon_H21e zenon_H21f zenon_Hed zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H72 zenon_H6e zenon_H1d6 zenon_H4e zenon_H50 zenon_H26 zenon_H22 zenon_H286 zenon_H287 zenon_H288 zenon_H28f zenon_H242 zenon_Ha8 zenon_H3a zenon_Hf8 zenon_H138 zenon_H22e zenon_H107 zenon_H2a3 zenon_H2a2 zenon_H2a1 zenon_H1c3 zenon_H119 zenon_H183. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.14/1.33 apply (zenon_L1158_); trivial. % 1.14/1.33 apply (zenon_L491_); trivial. % 1.14/1.33 apply (zenon_L679_); trivial. % 1.14/1.33 (* end of lemma zenon_L1159_ *) % 1.14/1.33 assert (zenon_L1160_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (~(hskp9)) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c2_1 (a2279))) -> (~(c3_1 (a2279))) -> (c0_1 (a2279)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/(hskp1))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp22))\/((ndr1_0)/\((c2_1 (a2325))/\((~(c0_1 (a2325)))/\(~(c1_1 (a2325))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((hskp21)\/(hskp22))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp1)\/(hskp14))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H198 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H246 zenon_H4e zenon_H50 zenon_H26 zenon_H2b1 zenon_H2b2 zenon_H2b3 zenon_H1ee zenon_Hac zenon_H157 zenon_H159 zenon_H87 zenon_H216 zenon_Hce zenon_H184 zenon_Ha8 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_Hf5 zenon_Hbd zenon_Hbb zenon_H288 zenon_H287 zenon_H286 zenon_H7f zenon_Hde zenon_Hf3 zenon_Hf8 zenon_H107 zenon_H1e7 zenon_H237 zenon_H239 zenon_H238 zenon_H1c3 zenon_H119 zenon_H183. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.14/1.33 apply (zenon_L1090_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.14/1.33 apply (zenon_L1072_); trivial. % 1.14/1.33 apply (zenon_L688_); trivial. % 1.14/1.33 (* end of lemma zenon_L1160_ *) % 1.14/1.33 assert (zenon_L1161_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp16)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.33 do 0 intro. intros zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H157 zenon_H85 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.33 apply (zenon_L996_); trivial. % 1.14/1.33 apply (zenon_L710_); trivial. % 1.14/1.33 (* end of lemma zenon_L1161_ *) % 1.14/1.33 assert (zenon_L1162_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H138 zenon_Hf1 zenon_Hef zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119 zenon_Hf8. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.33 apply (zenon_L1161_); trivial. % 1.14/1.33 apply (zenon_L109_); trivial. % 1.14/1.33 (* end of lemma zenon_L1162_ *) % 1.14/1.33 assert (zenon_L1163_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(hskp16)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c3_1 (a2303))) -> (c1_1 (a2303)) -> (c2_1 (a2303)) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.33 do 0 intro. intros zenon_Hf8 zenon_H71 zenon_H119 zenon_Hf3 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H112 zenon_H2d1 zenon_H1d5 zenon_H15f zenon_Hf9 zenon_H4e zenon_H85 zenon_Hed zenon_H157 zenon_Hac zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H16a zenon_H16b zenon_H16c zenon_H161 zenon_H173 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.33 apply (zenon_L996_); trivial. % 1.14/1.33 apply (zenon_L727_); trivial. % 1.14/1.33 (* end of lemma zenon_L1163_ *) % 1.14/1.33 assert (zenon_L1164_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H178 zenon_H173 zenon_Hed zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H2d1 zenon_H112 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H71 zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_Hef zenon_Hf1 zenon_H138. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.33 apply (zenon_L1162_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.33 apply (zenon_L1163_); trivial. % 1.14/1.33 apply (zenon_L109_); trivial. % 1.14/1.33 (* end of lemma zenon_L1164_ *) % 1.14/1.33 assert (zenon_L1165_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H138 zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_H9 zenon_H161 zenon_H163 zenon_H15b zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H71 zenon_Hf8. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.33 apply (zenon_L996_); trivial. % 1.14/1.33 apply (zenon_L742_); trivial. % 1.14/1.33 apply (zenon_L743_); trivial. % 1.14/1.33 (* end of lemma zenon_L1165_ *) % 1.14/1.33 assert (zenon_L1166_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H178 zenon_H3a zenon_H1d5 zenon_H266 zenon_H2bc zenon_H179 zenon_H2d3 zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H15b zenon_H163 zenon_H161 zenon_H9 zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_H138. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.33 apply (zenon_L1165_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.33 apply (zenon_L996_); trivial. % 1.14/1.33 apply (zenon_L751_); trivial. % 1.14/1.33 apply (zenon_L743_); trivial. % 1.14/1.33 (* end of lemma zenon_L1166_ *) % 1.14/1.33 assert (zenon_L1167_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(hskp7)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H71 zenon_H72 zenon_H1d6 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H26 zenon_H22 zenon_H9 zenon_Hb zenon_Hf zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H112 zenon_H1e5 zenon_H242 zenon_Hef zenon_Hf1 zenon_H3a zenon_H161 zenon_H173 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.33 apply (zenon_L996_); trivial. % 1.14/1.33 apply (zenon_L763_); trivial. % 1.14/1.33 (* end of lemma zenon_L1167_ *) % 1.14/1.33 assert (zenon_L1168_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H178 zenon_H2bc zenon_H1c3 zenon_H3a zenon_Hf1 zenon_Hef zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H15b zenon_H163 zenon_H161 zenon_H9 zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_H138. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.14/1.33 apply (zenon_L1165_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.14/1.33 apply (zenon_L996_); trivial. % 1.14/1.33 apply (zenon_L775_); trivial. % 1.14/1.33 apply (zenon_L743_); trivial. % 1.14/1.33 (* end of lemma zenon_L1168_ *) % 1.14/1.33 assert (zenon_L1169_ : ((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H1fb zenon_H184 zenon_H138 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_H9 zenon_H161 zenon_H163 zenon_H15b zenon_Hac zenon_H157 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_Hef zenon_Hf1 zenon_H3a zenon_H1c3 zenon_H2bc zenon_H178. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1168_); trivial. % 1.21/1.34 apply (zenon_L778_); trivial. % 1.21/1.34 (* end of lemma zenon_L1169_ *) % 1.21/1.34 assert (zenon_L1170_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.21/1.34 do 0 intro. intros zenon_Hf8 zenon_H71 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_Hac zenon_H15f zenon_H2d1 zenon_Hf3 zenon_H119 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.21/1.34 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.34 apply (zenon_L996_); trivial. % 1.21/1.34 apply (zenon_L792_); trivial. % 1.21/1.34 (* end of lemma zenon_L1170_ *) % 1.21/1.34 assert (zenon_L1171_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H138 zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_H119 zenon_H15b zenon_H2bc zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H3a zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H165 zenon_H167 zenon_Hf3 zenon_H71 zenon_Hf8. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.34 apply (zenon_L996_); trivial. % 1.21/1.34 apply (zenon_L811_); trivial. % 1.21/1.34 apply (zenon_L743_); trivial. % 1.21/1.34 (* end of lemma zenon_L1171_ *) % 1.21/1.34 assert (zenon_L1172_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> (~(c0_1 (a2286))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H175 zenon_Hf8 zenon_H15b zenon_Hac zenon_H157 zenon_H2c0 zenon_H2bf zenon_H2be zenon_H186 zenon_H185 zenon_H187 zenon_H2bc zenon_H271 zenon_H201 zenon_H202 zenon_H179 zenon_H270 zenon_H266 zenon_H242 zenon_H1d5 zenon_H3a zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.21/1.34 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.34 apply (zenon_L996_); trivial. % 1.21/1.34 apply (zenon_L815_); trivial. % 1.21/1.34 (* end of lemma zenon_L1172_ *) % 1.21/1.34 assert (zenon_L1173_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.21/1.34 do 0 intro. intros zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H85 zenon_H157 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.21/1.34 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.34 apply (zenon_L996_); trivial. % 1.21/1.34 apply (zenon_L823_); trivial. % 1.21/1.34 (* end of lemma zenon_L1173_ *) % 1.21/1.34 assert (zenon_L1174_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H175 zenon_H138 zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H119 zenon_Hf3 zenon_H2d1 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H3a zenon_Hf1 zenon_Hef zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H22 zenon_H1d6 zenon_H72 zenon_H71 zenon_Hf8. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.34 apply (zenon_L996_); trivial. % 1.21/1.34 apply (zenon_L826_); trivial. % 1.21/1.34 apply (zenon_L109_); trivial. % 1.21/1.34 (* end of lemma zenon_L1174_ *) % 1.21/1.34 assert (zenon_L1175_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H175 zenon_H138 zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H119 zenon_H15b zenon_H2bc zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H3a zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hf1 zenon_Hef zenon_H9 zenon_Hf9 zenon_H4e zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H71 zenon_Hf8. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.34 apply (zenon_L996_); trivial. % 1.21/1.34 apply (zenon_L834_); trivial. % 1.21/1.34 apply (zenon_L109_); trivial. % 1.21/1.34 (* end of lemma zenon_L1175_ *) % 1.21/1.34 assert (zenon_L1176_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H175 zenon_H138 zenon_Hf9 zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H119 zenon_H15b zenon_H2bc zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H3a zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_H50 zenon_H4e zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H9 zenon_Hef zenon_Hf1 zenon_H6e zenon_H71 zenon_Hf8. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.34 apply (zenon_L996_); trivial. % 1.21/1.34 apply (zenon_L839_); trivial. % 1.21/1.34 apply (zenon_L743_); trivial. % 1.21/1.34 (* end of lemma zenon_L1176_ *) % 1.21/1.34 assert (zenon_L1177_ : ((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H175 zenon_H138 zenon_H4e zenon_Hf9 zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H119 zenon_H15b zenon_H2bc zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H3a zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_H6e zenon_Hf1 zenon_Hef zenon_H9 zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H1c7 zenon_H1ee zenon_H13c zenon_H13b zenon_H13a zenon_H1d5 zenon_H1d6 zenon_H72 zenon_H71 zenon_Hf8. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.34 apply (zenon_L996_); trivial. % 1.21/1.34 apply (zenon_L847_); trivial. % 1.21/1.34 apply (zenon_L743_); trivial. % 1.21/1.34 (* end of lemma zenon_L1177_ *) % 1.21/1.34 assert (zenon_L1178_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(c3_1 (a2285))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> False). % 1.21/1.34 do 0 intro. intros zenon_Hf8 zenon_H242 zenon_H21e zenon_H21f zenon_H21d zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4. % 1.21/1.34 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.34 apply (zenon_L996_); trivial. % 1.21/1.34 apply (zenon_L856_); trivial. % 1.21/1.34 (* end of lemma zenon_L1178_ *) % 1.21/1.34 assert (zenon_L1179_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H2d1 zenon_H1d5 zenon_H22 zenon_H1c3 zenon_H3a zenon_Hf9 zenon_H4e zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H165 zenon_H167 zenon_Hf3 zenon_H119 zenon_Hf8. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.34 apply (zenon_L1161_); trivial. % 1.21/1.34 apply (zenon_L720_); trivial. % 1.21/1.34 (* end of lemma zenon_L1179_ *) % 1.21/1.34 assert (zenon_L1180_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H178 zenon_H173 zenon_Hed zenon_H266 zenon_H179 zenon_H71 zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H4e zenon_Hf9 zenon_H3a zenon_H1c3 zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.34 apply (zenon_L1179_); trivial. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.34 apply (zenon_L1163_); trivial. % 1.21/1.34 apply (zenon_L720_); trivial. % 1.21/1.34 (* end of lemma zenon_L1180_ *) % 1.21/1.34 assert (zenon_L1181_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H180 zenon_H184 zenon_H72 zenon_H6e zenon_H1d6 zenon_H239 zenon_H237 zenon_H238 zenon_H50 zenon_H22 zenon_H246 zenon_H1c3 zenon_H138 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_H9 zenon_H161 zenon_H163 zenon_H15b zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H71 zenon_Hf8 zenon_H2d3 zenon_H179 zenon_H2bc zenon_H266 zenon_H1d5 zenon_H3a zenon_H178. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1166_); trivial. % 1.21/1.34 apply (zenon_L757_); trivial. % 1.21/1.34 (* end of lemma zenon_L1181_ *) % 1.21/1.34 assert (zenon_L1182_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_H138 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_H9 zenon_H161 zenon_H163 zenon_H15b zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H71 zenon_Hf8 zenon_H2d3 zenon_H179 zenon_H2bc zenon_H266 zenon_H1d5 zenon_H3a zenon_H178. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1166_); trivial. % 1.21/1.34 apply (zenon_L116_); trivial. % 1.21/1.34 (* end of lemma zenon_L1182_ *) % 1.21/1.34 assert (zenon_L1183_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H178 zenon_H71 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_Hef zenon_Hf1 zenon_H173 zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H4e zenon_Hf9 zenon_H3a zenon_H1c3 zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.34 apply (zenon_L1179_); trivial. % 1.21/1.34 apply (zenon_L1167_); trivial. % 1.21/1.34 (* end of lemma zenon_L1183_ *) % 1.21/1.34 assert (zenon_L1184_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> (~(hskp3)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H180 zenon_H184 zenon_H69 zenon_H50 zenon_H246 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H112 zenon_H2d1 zenon_H1d5 zenon_H22 zenon_H1c3 zenon_H3a zenon_Hf9 zenon_H4e zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H163 zenon_H161 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_Hf8 zenon_H173 zenon_Hf1 zenon_Hef zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H71 zenon_H178. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1183_); trivial. % 1.21/1.34 apply (zenon_L765_); trivial. % 1.21/1.34 (* end of lemma zenon_L1184_ *) % 1.21/1.34 assert (zenon_L1185_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_H19c zenon_H19b zenon_H19a zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H4e zenon_Hf9 zenon_H3a zenon_H1c3 zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.34 apply (zenon_L1179_); trivial. % 1.21/1.34 apply (zenon_L779_); trivial. % 1.21/1.34 (* end of lemma zenon_L1185_ *) % 1.21/1.34 assert (zenon_L1186_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H1f0 zenon_H1f9 zenon_H2bc zenon_H1b0 zenon_H1a3 zenon_H193 zenon_Hed zenon_H71 zenon_H178 zenon_H1e7 zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H4e zenon_Hf9 zenon_H3a zenon_H1c3 zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138 zenon_H246 zenon_H50 zenon_H1e5 zenon_H184. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1185_); trivial. % 1.21/1.34 apply (zenon_L781_); trivial. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.34 apply (zenon_L1165_); trivial. % 1.21/1.34 apply (zenon_L779_); trivial. % 1.21/1.34 apply (zenon_L783_); trivial. % 1.21/1.34 (* end of lemma zenon_L1186_ *) % 1.21/1.34 assert (zenon_L1187_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31))))))\/((hskp7)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp6)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp3)) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H218 zenon_H1e7 zenon_Hf1 zenon_H1ee zenon_H1fa zenon_H1f9 zenon_H1b0 zenon_H1a3 zenon_H193 zenon_H2d3 zenon_H2bc zenon_H183 zenon_H1e5 zenon_H69 zenon_H50 zenon_H246 zenon_H178 zenon_H173 zenon_Hed zenon_H266 zenon_H71 zenon_Hf8 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H161 zenon_H163 zenon_Hce zenon_H15b zenon_Hf zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_Hf9 zenon_H3a zenon_H1c3 zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H112 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138 zenon_Ha8 zenon_H184 zenon_H17c zenon_H198 zenon_H1f8. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1180_); trivial. % 1.21/1.34 apply (zenon_L126_); trivial. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1180_); trivial. % 1.21/1.34 apply (zenon_L735_); trivial. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1180_); trivial. % 1.21/1.34 apply (zenon_L116_); trivial. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1166_); trivial. % 1.21/1.34 apply (zenon_L126_); trivial. % 1.21/1.34 apply (zenon_L1181_); trivial. % 1.21/1.34 apply (zenon_L1182_); trivial. % 1.21/1.34 apply (zenon_L193_); trivial. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1183_); trivial. % 1.21/1.34 apply (zenon_L126_); trivial. % 1.21/1.34 apply (zenon_L1184_); trivial. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1183_); trivial. % 1.21/1.34 apply (zenon_L771_); trivial. % 1.21/1.34 apply (zenon_L1169_); trivial. % 1.21/1.34 apply (zenon_L1186_); trivial. % 1.21/1.34 apply (zenon_L193_); trivial. % 1.21/1.34 (* end of lemma zenon_L1187_ *) % 1.21/1.34 assert (zenon_L1188_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H138 zenon_H72 zenon_H1d6 zenon_H22 zenon_H3a zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_H119 zenon_Hf3 zenon_H2d1 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_Hed zenon_H4e zenon_Hf9 zenon_H1d5 zenon_H1c7 zenon_H266 zenon_H179 zenon_H6e zenon_H71 zenon_Hf8. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.34 apply (zenon_L1170_); trivial. % 1.21/1.34 apply (zenon_L720_); trivial. % 1.21/1.34 (* end of lemma zenon_L1188_ *) % 1.21/1.34 assert (zenon_L1189_ : ((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H195 zenon_H184 zenon_H17c zenon_Hf8 zenon_H71 zenon_H6e zenon_H179 zenon_H266 zenon_H1c7 zenon_H1d5 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H2d1 zenon_Hf3 zenon_H119 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H3a zenon_H22 zenon_H1d6 zenon_H72 zenon_H138. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1188_); trivial. % 1.21/1.34 apply (zenon_L116_); trivial. % 1.21/1.34 (* end of lemma zenon_L1189_ *) % 1.21/1.34 assert (zenon_L1190_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(c0_1 (a2286))) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H178 zenon_H271 zenon_H179 zenon_H270 zenon_H266 zenon_H1d5 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hf8 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H2bc zenon_H15b zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.34 apply (zenon_L812_); trivial. % 1.21/1.34 apply (zenon_L1172_); trivial. % 1.21/1.34 (* end of lemma zenon_L1190_ *) % 1.21/1.34 assert (zenon_L1191_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> (~(hskp15)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H2d1 zenon_H1d5 zenon_H22 zenon_H3a zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_H119 zenon_Hf3 zenon_H167 zenon_H165 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_Hed zenon_H4e zenon_Hf9 zenon_H71 zenon_Hf8. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.34 apply (zenon_L1173_); trivial. % 1.21/1.34 apply (zenon_L720_); trivial. % 1.21/1.34 (* end of lemma zenon_L1191_ *) % 1.21/1.34 assert (zenon_L1192_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H178 zenon_Hf1 zenon_Hef zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H3a zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.34 apply (zenon_L1191_); trivial. % 1.21/1.34 apply (zenon_L1174_); trivial. % 1.21/1.34 (* end of lemma zenon_L1192_ *) % 1.21/1.34 assert (zenon_L1193_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H2d1 zenon_H1d5 zenon_H22 zenon_H3a zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_Hed zenon_H4e zenon_Hf9 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_Hef zenon_Hf1 zenon_H178. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1192_); trivial. % 1.21/1.34 apply (zenon_L126_); trivial. % 1.21/1.34 (* end of lemma zenon_L1193_ *) % 1.21/1.34 assert (zenon_L1194_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H180 zenon_H184 zenon_H69 zenon_H246 zenon_H50 zenon_H138 zenon_H72 zenon_H6e zenon_H1d6 zenon_H1c7 zenon_H2d1 zenon_H1d5 zenon_H22 zenon_H3a zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H119 zenon_Hf3 zenon_H167 zenon_H15f zenon_Hac zenon_H157 zenon_H87 zenon_H216 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_Hce zenon_H15b zenon_Hf zenon_Hb zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_Hed zenon_H4e zenon_Hf9 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_Hef zenon_Hf1 zenon_H178. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.34 apply (zenon_L1192_); trivial. % 1.21/1.34 apply (zenon_L831_); trivial. % 1.21/1.34 (* end of lemma zenon_L1194_ *) % 1.21/1.34 assert (zenon_L1195_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> (c0_1 (a2295)) -> (~(c3_1 (a2295))) -> (~(c1_1 (a2295))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.21/1.34 do 0 intro. intros zenon_H178 zenon_Hf1 zenon_Hef zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_H1ee zenon_H13c zenon_H13b zenon_H13a zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H3a zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.34 apply (zenon_L1191_); trivial. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.21/1.34 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.34 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.34 apply (zenon_L996_); trivial. % 1.21/1.34 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.21/1.34 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.21/1.34 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.21/1.34 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.21/1.35 apply (zenon_L791_); trivial. % 1.21/1.35 apply (zenon_L846_); trivial. % 1.21/1.35 apply (zenon_L720_); trivial. % 1.21/1.35 (* end of lemma zenon_L1195_ *) % 1.21/1.35 assert (zenon_L1196_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (c2_1 (a2287)) -> (c0_1 (a2287)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H178 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf1 zenon_Hef zenon_H9 zenon_H1e5 zenon_H1da zenon_H1d9 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H2bc zenon_H15b zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L812_); trivial. % 1.21/1.35 apply (zenon_L1175_); trivial. % 1.21/1.35 (* end of lemma zenon_L1196_ *) % 1.21/1.35 assert (zenon_L1197_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H184 zenon_Ha8 zenon_H5 zenon_H31 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15b zenon_H2bc zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H3a zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H167 zenon_Hf3 zenon_H71 zenon_Hf8 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H9 zenon_Hef zenon_Hf1 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H178. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1196_); trivial. % 1.21/1.35 apply (zenon_L126_); trivial. % 1.21/1.35 (* end of lemma zenon_L1197_ *) % 1.21/1.35 assert (zenon_L1198_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> (c2_1 (a2299)) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H178 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H50 zenon_H246 zenon_H12e zenon_H12d zenon_H12c zenon_H1e7 zenon_H1d9 zenon_H1da zenon_H1e5 zenon_H9 zenon_Hef zenon_Hf1 zenon_H6e zenon_Hf8 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H2bc zenon_H15b zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L812_); trivial. % 1.21/1.35 apply (zenon_L1176_); trivial. % 1.21/1.35 (* end of lemma zenon_L1198_ *) % 1.21/1.35 assert (zenon_L1199_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2293)) -> (c0_1 (a2293)) -> (~(c3_1 (a2293))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> (~(hskp14)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H178 zenon_H1e7 zenon_H19c zenon_H19b zenon_H19a zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H12 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_Hdc zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H3a zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L1191_); trivial. % 1.21/1.35 apply (zenon_L779_); trivial. % 1.21/1.35 (* end of lemma zenon_L1199_ *) % 1.21/1.35 assert (zenon_L1200_ : ((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/((hskp24)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((hskp29)\/((hskp27)\/(hskp3))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a2367))/\((c2_1 (a2367))/\(~(c0_1 (a2367))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp27)\/(hskp9))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H1f0 zenon_H1f9 zenon_H2bc zenon_H193 zenon_H178 zenon_H1e7 zenon_Hf8 zenon_H71 zenon_Hf9 zenon_H4e zenon_Hed zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hf zenon_H15b zenon_Hce zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H216 zenon_H87 zenon_H157 zenon_Hac zenon_H15f zenon_H167 zenon_Hf3 zenon_H119 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H3a zenon_H22 zenon_H1d5 zenon_H2d1 zenon_H1c7 zenon_H1d6 zenon_H6e zenon_H72 zenon_H138 zenon_H246 zenon_H50 zenon_H1e5 zenon_H184. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1199_); trivial. % 1.21/1.35 apply (zenon_L852_); trivial. % 1.21/1.35 apply (zenon_L854_); trivial. % 1.21/1.35 (* end of lemma zenon_L1200_ *) % 1.21/1.35 assert (zenon_L1201_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c3_1 (a2285))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H198 zenon_H17c zenon_H179 zenon_H184 zenon_Ha8 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H21d zenon_H21f zenon_H21e zenon_H242 zenon_Hf8 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hf3 zenon_H2d1 zenon_Hb zenon_H36 zenon_Hed zenon_H69 zenon_H246 zenon_H1e5 zenon_H112 zenon_H26 zenon_H71 zenon_H22e zenon_H1d6 zenon_H72 zenon_H138 zenon_H183. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L858_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1178_); trivial. % 1.21/1.35 apply (zenon_L862_); trivial. % 1.21/1.35 apply (zenon_L864_); trivial. % 1.21/1.35 (* end of lemma zenon_L1201_ *) % 1.21/1.35 assert (zenon_L1202_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c3_1 (a2285))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H180 zenon_H184 zenon_H178 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_Hf3 zenon_H167 zenon_Hed zenon_H22e zenon_H246 zenon_H1e5 zenon_H112 zenon_H1d6 zenon_H26 zenon_H72 zenon_H138 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H21d zenon_H21f zenon_H21e zenon_H242 zenon_Hf8. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1178_); trivial. % 1.21/1.35 apply (zenon_L963_); trivial. % 1.21/1.35 (* end of lemma zenon_L1202_ *) % 1.21/1.35 assert (zenon_L1203_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c0_1 (a2287)) -> (c2_1 (a2287)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(c3_1 (a2285))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H183 zenon_H178 zenon_H1e7 zenon_H1d9 zenon_H1da zenon_Hf3 zenon_H167 zenon_Hed zenon_H22e zenon_H246 zenon_H1e5 zenon_H112 zenon_H1d6 zenon_H26 zenon_H72 zenon_H138 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf8 zenon_H242 zenon_H21e zenon_H21f zenon_H21d zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_H31 zenon_Ha8 zenon_H184. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L858_); trivial. % 1.21/1.35 apply (zenon_L1202_); trivial. % 1.21/1.35 (* end of lemma zenon_L1203_ *) % 1.21/1.35 assert (zenon_L1204_ : ((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(c3_1 (a2285))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H219 zenon_H1f8 zenon_H1b0 zenon_H1a3 zenon_H183 zenon_H178 zenon_H1e7 zenon_Hf3 zenon_H167 zenon_Hed zenon_H22e zenon_H246 zenon_H1e5 zenon_H112 zenon_H1d6 zenon_H26 zenon_H72 zenon_H138 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf8 zenon_H242 zenon_H21e zenon_H21f zenon_H21d zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Ha8 zenon_H184 zenon_H1ee zenon_H119 zenon_H22 zenon_H193 zenon_Hf9 zenon_H157 zenon_H1c3 zenon_Hac zenon_H3a zenon_H107 zenon_H69 zenon_H71 zenon_H198. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1203_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1178_); trivial. % 1.21/1.35 apply (zenon_L875_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 (* end of lemma zenon_L1204_ *) % 1.21/1.35 assert (zenon_L1205_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a2287))/\((c2_1 (a2287))/\(~(c1_1 (a2287))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp23))) -> ((forall X89 : zenon_U, ((ndr1_0)->((~(c1_1 X89))\/((~(c2_1 X89))\/(~(c3_1 X89))))))\/((hskp25)\/(hskp23))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(~(c3_1 V))))))\/((hskp8)\/(hskp7))) -> (~(hskp7)) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a2327))/\((~(c0_1 (a2327)))/\(~(c2_1 (a2327))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c2_1 X13)\/(~(c3_1 X13))))))\/(forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(hskp3)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((forall X33 : zenon_U, ((ndr1_0)->((~(c0_1 X33))\/((~(c2_1 X33))\/(~(c3_1 X33))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X : zenon_U, ((ndr1_0)->((c1_1 X)\/((c3_1 X)\/(~(c2_1 X))))))\/(hskp30))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp17))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/((hskp12)\/(hskp19))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (c0_1 (a2285)) -> (c1_1 (a2285)) -> (~(c3_1 (a2285))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp12)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((c3_1 X16)\/(~(c0_1 X16))))))\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a2295))/\((~(c1_1 (a2295)))/\(~(c3_1 (a2295))))))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H218 zenon_H1e7 zenon_H1ee zenon_H22 zenon_H193 zenon_H1f9 zenon_H119 zenon_H15b zenon_Hac zenon_H157 zenon_H2bc zenon_Hf9 zenon_H1c3 zenon_H3a zenon_H107 zenon_H167 zenon_H266 zenon_H1d5 zenon_Hce zenon_H2d3 zenon_H161 zenon_H87 zenon_H178 zenon_H183 zenon_H138 zenon_H72 zenon_H1d6 zenon_H22e zenon_H71 zenon_H26 zenon_H112 zenon_H1e5 zenon_H246 zenon_H69 zenon_Hed zenon_H36 zenon_H2d1 zenon_Hf3 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_Hf8 zenon_H242 zenon_H21e zenon_H21f zenon_H21d zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_H236 zenon_Ha8 zenon_H184 zenon_H17c zenon_H198 zenon_H1a3 zenon_H1b0 zenon_H1f8. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_L1201_); trivial. % 1.21/1.35 apply (zenon_L871_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_L1204_); trivial. % 1.21/1.35 (* end of lemma zenon_L1205_ *) % 1.21/1.35 assert (zenon_L1206_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c3_1 (a2315)) -> (c2_1 (a2315)) -> (c1_1 (a2315)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> (~(c1_1 (a2337))) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a2299)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (ndr1_0) -> (~(c3_1 (a2282))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a2282))) -> (c2_1 (a2282)) -> False). % 1.21/1.35 do 0 intro. intros zenon_H1e7 zenon_H16 zenon_H15 zenon_H14 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H144 zenon_H145 zenon_H146 zenon_H157 zenon_H12e zenon_H12c zenon_H12d zenon_H12 zenon_H238 zenon_Had zenon_H239 zenon_H237. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H52 | zenon_intro zenon_H1e8 ]. % 1.21/1.35 apply (zenon_L869_); trivial. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H199 | zenon_intro zenon_H169 ]. % 1.21/1.35 apply (zenon_L243_); trivial. % 1.21/1.35 apply (zenon_L244_); trivial. % 1.21/1.35 (* end of lemma zenon_L1206_ *) % 1.21/1.35 assert (zenon_L1207_ : ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(hskp28)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2282)) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2299)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2337))) -> (c0_1 (a2337)) -> (c3_1 (a2337)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a2323))) -> (c2_1 (a2323)) -> (c3_1 (a2323)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a2345)) -> (~(c1_1 (a2345))) -> (~(c0_1 (a2345))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H26 zenon_H216 zenon_H81 zenon_H1e7 zenon_H237 zenon_H239 zenon_H238 zenon_H12e zenon_H12c zenon_H12d zenon_H144 zenon_H145 zenon_H146 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H157 zenon_H109 zenon_H10a zenon_H10b zenon_H20d zenon_H202 zenon_H201 zenon_H1c3 zenon_H193 zenon_H33 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H12 zenon_H1a3 zenon_H112 zenon_H1b0. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_Hd | zenon_intro zenon_H21 ]. % 1.21/1.35 apply (zenon_L298_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H12. zenon_intro zenon_H23. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H14. zenon_intro zenon_H24. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H15. zenon_intro zenon_H16. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H217 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Had | zenon_intro zenon_H1c4 ]. % 1.21/1.35 apply (zenon_L1206_); trivial. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H108 | zenon_intro zenon_Hb1 ]. % 1.21/1.35 apply (zenon_L75_); trivial. % 1.21/1.35 apply (zenon_L173_); trivial. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H82 ]. % 1.21/1.35 apply (zenon_L174_); trivial. % 1.21/1.35 exact (zenon_H81 zenon_H82). % 1.21/1.35 (* end of lemma zenon_L1207_ *) % 1.21/1.35 assert (zenon_L1208_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> (~(c3_1 (a2299))) -> (~(c1_1 (a2299))) -> (c2_1 (a2299)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H138 zenon_H236 zenon_Hdc zenon_H237 zenon_H238 zenon_H239 zenon_H12 zenon_H119 zenon_H15b zenon_H12d zenon_H12c zenon_H12e zenon_H1e7 zenon_H2bc zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H3a zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H165 zenon_H167 zenon_Hf3 zenon_H71 zenon_Hf8. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.35 apply (zenon_L229_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.21/1.35 apply (zenon_L740_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.21/1.35 apply (zenon_L808_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H12. zenon_intro zenon_H15d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H145. zenon_intro zenon_H15e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H146. zenon_intro zenon_H144. % 1.21/1.35 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.21/1.35 apply (zenon_L738_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_H12. zenon_intro zenon_Hcb. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hc2. zenon_intro zenon_Hcc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hc0. zenon_intro zenon_Hc1. % 1.21/1.35 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H81 | zenon_intro zenon_Ha7 ]. % 1.21/1.35 apply (zenon_L1207_); trivial. % 1.21/1.35 apply (zenon_L737_); trivial. % 1.21/1.35 apply (zenon_L741_); trivial. % 1.21/1.35 apply (zenon_L743_); trivial. % 1.21/1.35 (* end of lemma zenon_L1208_ *) % 1.21/1.35 assert (zenon_L1209_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> (~(c0_1 (a2286))) -> (~(hskp8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> (~(hskp9)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (c0_1 (a2294)) -> (~(c1_1 (a2294))) -> (~(c2_1 (a2294))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> (~(c2_1 (a2286))) -> (c1_1 (a2286)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> (c2_1 (a2299)) -> (~(c1_1 (a2299))) -> (~(c3_1 (a2299))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> (ndr1_0) -> (~(c0_1 (a2282))) -> (~(c3_1 (a2282))) -> (c2_1 (a2282)) -> (~(hskp14)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H178 zenon_H271 zenon_H179 zenon_H270 zenon_H266 zenon_H1d5 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hf8 zenon_H71 zenon_Hf3 zenon_H167 zenon_Hf9 zenon_H4e zenon_Hed zenon_Hce zenon_H26 zenon_H107 zenon_H242 zenon_H193 zenon_H1a3 zenon_H112 zenon_H1b0 zenon_H87 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H187 zenon_H185 zenon_H186 zenon_H157 zenon_Hac zenon_H3a zenon_H216 zenon_H201 zenon_H202 zenon_H20d zenon_H1c3 zenon_H2bc zenon_H1e7 zenon_H12e zenon_H12c zenon_H12d zenon_H15b zenon_H119 zenon_H12 zenon_H239 zenon_H238 zenon_H237 zenon_Hdc zenon_H236 zenon_H138. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L1208_); trivial. % 1.21/1.35 apply (zenon_L1172_); trivial. % 1.21/1.35 (* end of lemma zenon_L1209_ *) % 1.21/1.35 assert (zenon_L1210_ : ((ndr1_0)/\((c2_1 (a2299))/\((~(c1_1 (a2299)))/\(~(c3_1 (a2299)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp14)\/(hskp17))) -> (c2_1 (a2282)) -> (~(c3_1 (a2282))) -> (~(c0_1 (a2282))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a2337))/\((c3_1 (a2337))/\(~(c1_1 (a2337))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c1_1 X31))\/(~(c2_1 X31)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((hskp24)\/(hskp25))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((c3_1 X28)\/(~(c1_1 X28))))))\/(hskp19))) -> (c1_1 (a2286)) -> (~(c2_1 (a2286))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a2342))/\((c3_1 (a2342))/\(~(c2_1 (a2342))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2294))) -> (~(c1_1 (a2294))) -> (c0_1 (a2294)) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp30)\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall X60 : zenon_U, ((ndr1_0)->((c3_1 X60)\/((~(c0_1 X60))\/(~(c1_1 X60))))))\/((hskp21)\/(hskp16))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp28)\/(hskp9))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c3_1 X22)\/(~(c1_1 X22))))))\/((hskp15)\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a2324))/\((~(c0_1 (a2324)))/\(~(c3_1 (a2324))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a2316))/\((~(c2_1 (a2316)))/\(~(c3_1 (a2316))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a2309))/\((c1_1 (a2309))/\(c2_1 (a2309)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp29)\/(hskp8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c2_1 X20)\/(~(c1_1 X20))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a2286))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a2303))/\((c2_1 (a2303))/\(~(c3_1 (a2303))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H180 zenon_H184 zenon_H138 zenon_H236 zenon_H237 zenon_H238 zenon_H239 zenon_H119 zenon_H15b zenon_H1e7 zenon_H2bc zenon_H1c3 zenon_H20d zenon_H202 zenon_H201 zenon_H216 zenon_H3a zenon_Hac zenon_H157 zenon_H186 zenon_H185 zenon_H187 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H87 zenon_H1b0 zenon_H112 zenon_H1a3 zenon_H193 zenon_H242 zenon_H107 zenon_H26 zenon_Hce zenon_Hed zenon_H4e zenon_Hf9 zenon_H167 zenon_Hf3 zenon_H71 zenon_Hf8 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H1d5 zenon_H266 zenon_H270 zenon_H179 zenon_H271 zenon_H178. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1209_); trivial. % 1.21/1.35 apply (zenon_L821_); trivial. % 1.21/1.35 (* end of lemma zenon_L1210_ *) % 1.21/1.35 assert (zenon_L1211_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> (ndr1_0) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(hskp6)) -> (~(hskp11)) -> ((hskp6)\/((hskp11)\/(hskp30))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> (c3_1 (a2280)) -> (c1_1 (a2280)) -> (~(c2_1 (a2280))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H138 zenon_Hf1 zenon_Hef zenon_H2e4 zenon_Hdc zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H12 zenon_H26 zenon_H107 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H242 zenon_H9 zenon_Hb zenon_Hf zenon_Hac zenon_H1c3 zenon_H288 zenon_H287 zenon_H286 zenon_H157 zenon_H87 zenon_H216 zenon_Hce zenon_H119 zenon_Hf8. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.35 apply (zenon_L996_); trivial. % 1.21/1.35 apply (zenon_L885_); trivial. % 1.21/1.35 apply (zenon_L109_); trivial. % 1.21/1.35 (* end of lemma zenon_L1211_ *) % 1.21/1.35 assert (zenon_L1212_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a2293))/\((c2_1 (a2293))/\(~(c3_1 (a2293))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c2_1 X9))))))\/((hskp2)\/(hskp4))) -> (~(hskp4)) -> (~(hskp2)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp26))\/((ndr1_0)/\((c3_1 (a2345))/\((~(c0_1 (a2345)))/\(~(c1_1 (a2345))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((hskp28)\/((hskp26)\/(hskp16))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((hskp6)\/((hskp11)\/(hskp30))) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> (~(c2_1 (a2277))) -> (c0_1 (a2277)) -> (c1_1 (a2277)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((~(hskp30))\/((ndr1_0)/\((c1_1 (a2315))/\((c2_1 (a2315))/\(c3_1 (a2315)))))) -> (~(c0_1 (a2276))) -> (c1_1 (a2276)) -> (c3_1 (a2276)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp6)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a2304)))/\((~(c2_1 (a2304)))/\(~(c3_1 (a2304))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a2294))/\((~(c1_1 (a2294)))/\(~(c2_1 (a2294))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H1f3 zenon_H1fa zenon_H1a5 zenon_H45 zenon_H1a3 zenon_H184 zenon_Hf8 zenon_H119 zenon_Hce zenon_H216 zenon_H87 zenon_H157 zenon_H286 zenon_H287 zenon_H288 zenon_H1c3 zenon_Hac zenon_Hf zenon_H9 zenon_H242 zenon_H2be zenon_H2bf zenon_H2c0 zenon_H2cf zenon_H107 zenon_H26 zenon_H2e7 zenon_H2e6 zenon_H2e5 zenon_H2e4 zenon_Hf1 zenon_H138 zenon_H1f9. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1211_); trivial. % 1.21/1.35 apply (zenon_L903_); trivial. % 1.21/1.35 apply (zenon_L905_); trivial. % 1.21/1.35 apply (zenon_L168_); trivial. % 1.21/1.35 (* end of lemma zenon_L1212_ *) % 1.21/1.35 assert (zenon_L1213_ : ((ndr1_0)/\((~(c0_1 (a2291)))/\((~(c1_1 (a2291)))/\(~(c2_1 (a2291)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a2302))/\((c3_1 (a2302))/\(~(c0_1 (a2302))))))) -> ((~(hskp20))\/((ndr1_0)/\((c2_1 (a2323))/\((c3_1 (a2323))/\(~(c1_1 (a2323))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a2278))/\((c1_1 (a2278))/\(c3_1 (a2278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((~(c2_1 X4))\/(~(c3_1 X4))))))\/(forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X65 : zenon_U, ((ndr1_0)->((c1_1 X65)\/((~(c0_1 X65))\/(~(c3_1 X65))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c0_1 X62))\/((~(c1_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a2280))) -> (c1_1 (a2280)) -> (c3_1 (a2280)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/(hskp20)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c0_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp14)\/(hskp17))) -> (c3_1 (a2276)) -> (c1_1 (a2276)) -> (~(c0_1 (a2276))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c2_1 X23)\/((c3_1 X23)\/(~(c0_1 X23))))))\/((forall X66 : zenon_U, ((ndr1_0)->((c2_1 X66)\/((~(c0_1 X66))\/(~(c1_1 X66))))))\/(hskp14))) -> (c1_1 (a2277)) -> (c0_1 (a2277)) -> (~(c2_1 (a2277))) -> (~(c3_1 (a2285))) -> (c1_1 (a2285)) -> (c0_1 (a2285)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c1_1 X48)\/((c2_1 X48)\/(c3_1 X48)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((~(c0_1 X49))\/(~(c3_1 X49))))))\/(forall X50 : zenon_U, ((ndr1_0)->((~(c0_1 X50))\/((~(c1_1 X50))\/(~(c2_1 X50)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a2306)))/\((~(c2_1 (a2306)))/\(~(c3_1 (a2306))))))) -> False). % 1.21/1.35 do 0 intro. intros zenon_H1f3 zenon_H184 zenon_H119 zenon_Hac zenon_H1c3 zenon_H157 zenon_H286 zenon_H287 zenon_H288 zenon_H216 zenon_H107 zenon_H2e4 zenon_H2e5 zenon_H2e6 zenon_H2e7 zenon_H2cf zenon_H2c0 zenon_H2bf zenon_H2be zenon_H21d zenon_H21f zenon_H21e zenon_H242 zenon_Hf8. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1178_); trivial. % 1.21/1.35 apply (zenon_L903_); trivial. % 1.21/1.35 (* end of lemma zenon_L1213_ *) % 1.21/1.35 apply NNPP. intro zenon_G. % 1.21/1.35 apply zenon_G. zenon_intro zenon_H2f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H2f8. zenon_intro zenon_H2f7. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H2fa. zenon_intro zenon_H2f9. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H2fc. zenon_intro zenon_H2fb. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H2dd. zenon_intro zenon_H2fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H2de. zenon_intro zenon_H2fe. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H300. zenon_intro zenon_H2ff. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H2d9. zenon_intro zenon_H301. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H280. zenon_intro zenon_H302. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H218. zenon_intro zenon_H303. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H1f8. zenon_intro zenon_H304. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H1fa. zenon_intro zenon_H305. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H1f9. zenon_intro zenon_H306. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H198. zenon_intro zenon_H307. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H183. zenon_intro zenon_H308. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H184. zenon_intro zenon_H309. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H178. zenon_intro zenon_H30a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H138. zenon_intro zenon_H30b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_Hf8. zenon_intro zenon_H30c. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H30e. zenon_intro zenon_H30d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H71. zenon_intro zenon_H30f. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H119. zenon_intro zenon_H310. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_Hf3. zenon_intro zenon_H311. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_Hf5. zenon_intro zenon_H312. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H72. zenon_intro zenon_H313. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H15b. zenon_intro zenon_H314. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H3a. zenon_intro zenon_H315. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_Hce. zenon_intro zenon_H316. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H6e. zenon_intro zenon_H317. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_Hac. zenon_intro zenon_H318. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H1d5. zenon_intro zenon_H319. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H26. zenon_intro zenon_H31a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31c. zenon_intro zenon_H31b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_Hca. zenon_intro zenon_H31d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H244. zenon_intro zenon_H31e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H216. zenon_intro zenon_H31f. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H1b0. zenon_intro zenon_H320. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H1f4. zenon_intro zenon_H321. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H1c3. zenon_intro zenon_H322. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_Hbd. zenon_intro zenon_H323. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H29f. zenon_intro zenon_H324. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H163. zenon_intro zenon_H325. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H2d3. zenon_intro zenon_H326. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H1d6. zenon_intro zenon_H327. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H329. zenon_intro zenon_H328. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_Hf9. zenon_intro zenon_H32a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf1. zenon_intro zenon_H32b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H1b2. zenon_intro zenon_H32c. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H270. zenon_intro zenon_H32d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H47. zenon_intro zenon_H32e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2d1. zenon_intro zenon_H32f. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_Hde. zenon_intro zenon_H330. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H167. zenon_intro zenon_H331. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H236. zenon_intro zenon_H332. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H69. zenon_intro zenon_H333. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H1e7. zenon_intro zenon_H334. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H336. zenon_intro zenon_H335. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H266. zenon_intro zenon_H337. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H339. zenon_intro zenon_H338. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H2e4. zenon_intro zenon_H33a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H17c. zenon_intro zenon_H33b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H246. zenon_intro zenon_H33c. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H20d. zenon_intro zenon_H33d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H33f. zenon_intro zenon_H33e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_Ha8. zenon_intro zenon_H340. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H193. zenon_intro zenon_H341. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H107. zenon_intro zenon_H342. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H242. zenon_intro zenon_H343. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H7f. zenon_intro zenon_H344. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H346. zenon_intro zenon_H345. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H1ee. zenon_intro zenon_H347. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H159. zenon_intro zenon_H348. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H34a. zenon_intro zenon_H349. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H22e. zenon_intro zenon_H34b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_Ha5. zenon_intro zenon_H34c. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H234. zenon_intro zenon_H34d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H157. zenon_intro zenon_H34e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H291. zenon_intro zenon_H34f. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H351. zenon_intro zenon_H350. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H15f. zenon_intro zenon_H352. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H114. zenon_intro zenon_H353. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H2cf. zenon_intro zenon_H354. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H2ba. zenon_intro zenon_H355. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H2bc. zenon_intro zenon_H356. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Hfb. zenon_intro zenon_H357. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H36. zenon_intro zenon_H358. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H28f. zenon_intro zenon_H359. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1e5. zenon_intro zenon_H35a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Hed. zenon_intro zenon_H35b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H1a5. zenon_intro zenon_H35c. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H26a. zenon_intro zenon_H35d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H173. zenon_intro zenon_H35e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H360. zenon_intro zenon_H35f. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H362. zenon_intro zenon_H361. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H364. zenon_intro zenon_H363. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H22. zenon_intro zenon_H365. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H50. zenon_intro zenon_H366. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1c7. zenon_intro zenon_H367. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H369. zenon_intro zenon_H368. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H87. zenon_intro zenon_H36a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H36c. zenon_intro zenon_H36b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_Hf. zenon_intro zenon_H36d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H36f. zenon_intro zenon_H36e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H371. zenon_intro zenon_H370. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H373. zenon_intro zenon_H372. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H375. zenon_intro zenon_H374. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H7. zenon_intro zenon_H376. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H377 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_Hbb | zenon_intro zenon_H378 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H2dc ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H112 | zenon_intro zenon_H2e1 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_L66_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.21/1.35 apply (zenon_L81_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.35 apply (zenon_L84_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_L91_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_L118_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_L129_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_L132_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_L134_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_L170_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_L207_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_L228_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H12. zenon_intro zenon_H2da. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H237. zenon_intro zenon_H2db. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H239. zenon_intro zenon_H238. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_L274_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L296_); trivial. % 1.21/1.35 apply (zenon_L304_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L276_); trivial. % 1.21/1.35 apply (zenon_L306_); trivial. % 1.21/1.35 apply (zenon_L322_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L296_); trivial. % 1.21/1.35 apply (zenon_L327_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_L339_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L232_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L341_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L342_); trivial. % 1.21/1.35 apply (zenon_L336_); trivial. % 1.21/1.35 apply (zenon_L344_); trivial. % 1.21/1.35 apply (zenon_L347_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_L355_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L358_); trivial. % 1.21/1.35 apply (zenon_L360_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L357_); trivial. % 1.21/1.35 apply (zenon_L306_); trivial. % 1.21/1.35 apply (zenon_L369_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L358_); trivial. % 1.21/1.35 apply (zenon_L374_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_L381_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L385_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L359_); trivial. % 1.21/1.35 apply (zenon_L206_); trivial. % 1.21/1.35 apply (zenon_L380_); trivial. % 1.21/1.35 apply (zenon_L386_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_L412_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H12. zenon_intro zenon_H2e2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H287. zenon_intro zenon_H2e3. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H288. zenon_intro zenon_H286. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H29d | zenon_intro zenon_H379 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_L451_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L442_); trivial. % 1.21/1.35 apply (zenon_L455_); trivial. % 1.21/1.35 apply (zenon_L168_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_L460_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L459_); trivial. % 1.21/1.35 apply (zenon_L455_); trivial. % 1.21/1.35 apply (zenon_L168_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L469_); trivial. % 1.21/1.35 apply (zenon_L471_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L474_); trivial. % 1.21/1.35 apply (zenon_L471_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H2a1. zenon_intro zenon_H37b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_L486_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L485_); trivial. % 1.21/1.35 apply (zenon_L487_); trivial. % 1.21/1.35 apply (zenon_L168_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L492_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L470_); trivial. % 1.21/1.35 apply (zenon_L497_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H12. zenon_intro zenon_H2da. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H237. zenon_intro zenon_H2db. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H239. zenon_intro zenon_H238. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_L504_); trivial. % 1.21/1.35 apply (zenon_L510_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_L504_); trivial. % 1.21/1.35 apply (zenon_L517_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H12. zenon_intro zenon_H2df. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2b3. zenon_intro zenon_H2e0. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2b1. zenon_intro zenon_H2b2. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H112 | zenon_intro zenon_H2e1 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L522_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.35 apply (zenon_L33_); trivial. % 1.21/1.35 apply (zenon_L524_); trivial. % 1.21/1.35 apply (zenon_L117_); trivial. % 1.21/1.35 apply (zenon_L521_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.21/1.35 apply (zenon_L125_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H12. zenon_intro zenon_H6f. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H5f. zenon_intro zenon_H70. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H5d. zenon_intro zenon_H5e. % 1.21/1.35 apply (zenon_L79_); trivial. % 1.21/1.35 apply (zenon_L526_); trivial. % 1.21/1.35 apply (zenon_L126_); trivial. % 1.21/1.35 apply (zenon_L117_); trivial. % 1.21/1.35 apply (zenon_L521_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L522_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L345_); trivial. % 1.21/1.35 apply (zenon_L521_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_L527_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H12. zenon_intro zenon_H2da. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H237. zenon_intro zenon_H2db. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H239. zenon_intro zenon_H238. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H29d | zenon_intro zenon_H379 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_L533_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L232_); trivial. % 1.21/1.35 apply (zenon_L542_); trivial. % 1.21/1.35 apply (zenon_L532_); trivial. % 1.21/1.35 apply (zenon_L564_); trivial. % 1.21/1.35 apply (zenon_L578_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L583_); trivial. % 1.21/1.35 apply (zenon_L584_); trivial. % 1.21/1.35 apply (zenon_L588_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L352_); trivial. % 1.21/1.35 apply (zenon_L569_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L592_); trivial. % 1.21/1.35 apply (zenon_L569_); trivial. % 1.21/1.35 apply (zenon_L564_); trivial. % 1.21/1.35 apply (zenon_L578_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L377_); trivial. % 1.21/1.35 apply (zenon_L595_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L596_); trivial. % 1.21/1.35 apply (zenon_L595_); trivial. % 1.21/1.35 apply (zenon_L584_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L565_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L568_); trivial. % 1.21/1.35 apply (zenon_L603_); trivial. % 1.21/1.35 apply (zenon_L505_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L574_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.35 apply (zenon_L229_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.21/1.35 apply (zenon_L181_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.21/1.35 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.21/1.35 apply (zenon_L36_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.21/1.35 apply (zenon_L519_); trivial. % 1.21/1.35 apply (zenon_L282_); trivial. % 1.21/1.35 apply (zenon_L58_); trivial. % 1.21/1.35 apply (zenon_L576_); trivial. % 1.21/1.35 apply (zenon_L603_); trivial. % 1.21/1.35 apply (zenon_L505_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L345_); trivial. % 1.21/1.35 apply (zenon_L577_); trivial. % 1.21/1.35 apply (zenon_L614_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H2a1. zenon_intro zenon_H37b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_L533_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L232_); trivial. % 1.21/1.35 apply (zenon_L622_); trivial. % 1.21/1.35 apply (zenon_L626_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L547_); trivial. % 1.21/1.35 apply (zenon_L629_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L585_); trivial. % 1.21/1.35 apply (zenon_L631_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L575_); trivial. % 1.21/1.35 apply (zenon_L633_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L583_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L345_); trivial. % 1.21/1.35 apply (zenon_L629_); trivial. % 1.21/1.35 apply (zenon_L588_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L638_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L637_); trivial. % 1.21/1.35 apply (zenon_L641_); trivial. % 1.21/1.35 apply (zenon_L631_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L592_); trivial. % 1.21/1.35 apply (zenon_L626_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L547_); trivial. % 1.21/1.35 apply (zenon_L648_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L649_); trivial. % 1.21/1.35 apply (zenon_L633_); trivial. % 1.21/1.35 apply (zenon_L650_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L575_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L627_); trivial. % 1.21/1.35 apply (zenon_L653_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L638_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L375_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L618_); trivial. % 1.21/1.35 apply (zenon_L376_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L630_); trivial. % 1.21/1.35 apply (zenon_L655_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L596_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L625_); trivial. % 1.21/1.35 apply (zenon_L655_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L345_); trivial. % 1.21/1.35 apply (zenon_L648_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L649_); trivial. % 1.21/1.35 apply (zenon_L657_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L574_); trivial. % 1.21/1.35 apply (zenon_L657_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L345_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_L659_); trivial. % 1.21/1.35 apply (zenon_L576_); trivial. % 1.21/1.35 apply (zenon_L557_); trivial. % 1.21/1.35 apply (zenon_L656_); trivial. % 1.21/1.35 apply (zenon_L614_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H12. zenon_intro zenon_H2e2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H287. zenon_intro zenon_H2e3. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H288. zenon_intro zenon_H286. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H29d | zenon_intro zenon_H379 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L442_); trivial. % 1.21/1.35 apply (zenon_L662_); trivial. % 1.21/1.35 apply (zenon_L669_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_L672_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L459_); trivial. % 1.21/1.35 apply (zenon_L662_); trivial. % 1.21/1.35 apply (zenon_L669_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_L672_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L469_); trivial. % 1.21/1.35 apply (zenon_L676_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L474_); trivial. % 1.21/1.35 apply (zenon_L676_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H2a1. zenon_intro zenon_H37b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L680_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L683_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L684_); trivial. % 1.21/1.35 apply (zenon_L668_); trivial. % 1.21/1.35 apply (zenon_L679_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_L687_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L492_); trivial. % 1.21/1.35 apply (zenon_L676_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H12. zenon_intro zenon_H2da. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H237. zenon_intro zenon_H2db. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H239. zenon_intro zenon_H238. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L503_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L498_); trivial. % 1.21/1.35 apply (zenon_L688_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L503_); trivial. % 1.21/1.35 apply (zenon_L690_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37c. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H2bf. zenon_intro zenon_H37d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H2c0. zenon_intro zenon_H2be. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H2dc ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H112 | zenon_intro zenon_H2e1 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.21/1.35 apply (zenon_L695_); trivial. % 1.21/1.35 apply (zenon_L78_); trivial. % 1.21/1.35 apply (zenon_L109_); trivial. % 1.21/1.35 apply (zenon_L117_); trivial. % 1.21/1.35 apply (zenon_L168_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_L697_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H135). zenon_intro zenon_H12. zenon_intro zenon_H136. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H11a. zenon_intro zenon_H137. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H11b. zenon_intro zenon_H11c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.21/1.35 apply (zenon_L700_); trivial. % 1.21/1.35 apply (zenon_L78_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L701_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_L88_); trivial. % 1.21/1.35 apply (zenon_L703_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H12. zenon_intro zenon_H2da. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H237. zenon_intro zenon_H2db. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H239. zenon_intro zenon_H238. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_L785_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_L805_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L817_); trivial. % 1.21/1.35 apply (zenon_L821_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L829_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L828_); trivial. % 1.21/1.35 apply (zenon_L831_); trivial. % 1.21/1.35 apply (zenon_L833_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L835_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L840_); trivial. % 1.21/1.35 apply (zenon_L845_); trivial. % 1.21/1.35 apply (zenon_L850_); trivial. % 1.21/1.35 apply (zenon_L855_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_L877_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_L865_); trivial. % 1.21/1.35 apply (zenon_L878_); trivial. % 1.21/1.35 apply (zenon_L876_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H12. zenon_intro zenon_H2e2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H287. zenon_intro zenon_H2e3. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H288. zenon_intro zenon_H286. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L886_); trivial. % 1.21/1.35 apply (zenon_L889_); trivial. % 1.21/1.35 apply (zenon_L891_); trivial. % 1.21/1.35 apply (zenon_L894_); trivial. % 1.21/1.35 apply (zenon_L168_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L896_); trivial. % 1.21/1.35 apply (zenon_L891_); trivial. % 1.21/1.35 apply (zenon_L169_); trivial. % 1.21/1.35 apply (zenon_L908_); trivial. % 1.21/1.35 apply (zenon_L995_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H12. zenon_intro zenon_H37e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H2e6. zenon_intro zenon_H37f. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H2e5. zenon_intro zenon_H2e7. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_Hbb | zenon_intro zenon_H378 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H2dc ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H112 | zenon_intro zenon_H2e1 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1008_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1010_); trivial. % 1.21/1.35 apply (zenon_L116_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1008_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1011_); trivial. % 1.21/1.35 apply (zenon_L116_); trivial. % 1.21/1.35 apply (zenon_L168_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1008_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1010_); trivial. % 1.21/1.35 apply (zenon_L162_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1008_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1011_); trivial. % 1.21/1.35 apply (zenon_L343_); trivial. % 1.21/1.35 apply (zenon_L168_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L1018_); trivial. % 1.21/1.35 apply (zenon_L168_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L1000_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_L395_); trivial. % 1.21/1.35 apply (zenon_L1007_); trivial. % 1.21/1.35 apply (zenon_L1019_); trivial. % 1.21/1.35 apply (zenon_L136_); trivial. % 1.21/1.35 apply (zenon_L223_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_L227_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H12. zenon_intro zenon_H2da. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H237. zenon_intro zenon_H2db. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H239. zenon_intro zenon_H238. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H29d | zenon_intro zenon_H379 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1021_); trivial. % 1.21/1.35 apply (zenon_L1023_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L1020_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1025_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L1028_); trivial. % 1.21/1.35 apply (zenon_L268_); trivial. % 1.21/1.35 apply (zenon_L304_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1031_); trivial. % 1.21/1.35 apply (zenon_L1032_); trivial. % 1.21/1.35 apply (zenon_L1033_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1034_); trivial. % 1.21/1.35 apply (zenon_L1035_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L1020_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1025_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.35 apply (zenon_L540_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.21/1.35 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.21/1.35 apply (zenon_L1003_); trivial. % 1.21/1.35 apply (zenon_L199_); trivial. % 1.21/1.35 apply (zenon_L109_); trivial. % 1.21/1.35 apply (zenon_L336_); trivial. % 1.21/1.35 apply (zenon_L344_); trivial. % 1.21/1.35 apply (zenon_L1036_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L1039_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1029_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L1030_); trivial. % 1.21/1.35 apply (zenon_L351_); trivial. % 1.21/1.35 apply (zenon_L1040_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1031_); trivial. % 1.21/1.35 apply (zenon_L1043_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1031_); trivial. % 1.21/1.35 apply (zenon_L1046_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1048_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1017_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L200_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_L1052_); trivial. % 1.21/1.35 apply (zenon_L154_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1048_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1038_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L200_); trivial. % 1.21/1.35 apply (zenon_L1053_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L345_); trivial. % 1.21/1.35 apply (zenon_L1043_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L345_); trivial. % 1.21/1.35 apply (zenon_L1046_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_L1054_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H2a1. zenon_intro zenon_H37b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1055_); trivial. % 1.21/1.35 apply (zenon_L1023_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1055_); trivial. % 1.21/1.35 apply (zenon_L304_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L1020_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1029_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_L250_); trivial. % 1.21/1.35 apply (zenon_L1027_); trivial. % 1.21/1.35 apply (zenon_L620_); trivial. % 1.21/1.35 apply (zenon_L1032_); trivial. % 1.21/1.35 apply (zenon_L1033_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1057_); trivial. % 1.21/1.35 apply (zenon_L1035_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1057_); trivial. % 1.21/1.35 apply (zenon_L344_); trivial. % 1.21/1.35 apply (zenon_L1036_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1058_); trivial. % 1.21/1.35 apply (zenon_L1040_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1058_); trivial. % 1.21/1.35 apply (zenon_L1067_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1058_); trivial. % 1.21/1.35 apply (zenon_L1069_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1071_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1017_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L1066_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_L1052_); trivial. % 1.21/1.35 apply (zenon_L1065_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1048_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1038_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_L1068_); trivial. % 1.21/1.35 apply (zenon_L1053_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L345_); trivial. % 1.21/1.35 apply (zenon_L1067_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L345_); trivial. % 1.21/1.35 apply (zenon_L1069_); trivial. % 1.21/1.35 apply (zenon_L193_); trivial. % 1.21/1.35 apply (zenon_L1054_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H12. zenon_intro zenon_H2e2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H287. zenon_intro zenon_H2e3. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H288. zenon_intro zenon_H286. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H29d | zenon_intro zenon_H379 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1074_); trivial. % 1.21/1.35 apply (zenon_L1075_); trivial. % 1.21/1.35 apply (zenon_L168_); trivial. % 1.21/1.35 apply (zenon_L1077_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1078_); trivial. % 1.21/1.35 apply (zenon_L1075_); trivial. % 1.21/1.35 apply (zenon_L168_); trivial. % 1.21/1.35 apply (zenon_L1077_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1079_); trivial. % 1.21/1.35 apply (zenon_L1080_); trivial. % 1.21/1.35 apply (zenon_L1082_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1083_); trivial. % 1.21/1.35 apply (zenon_L1080_); trivial. % 1.21/1.35 apply (zenon_L1082_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H2a1. zenon_intro zenon_H37b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L485_); trivial. % 1.21/1.35 apply (zenon_L1075_); trivial. % 1.21/1.35 apply (zenon_L168_); trivial. % 1.21/1.35 apply (zenon_L1077_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_L1086_); trivial. % 1.21/1.35 apply (zenon_L1082_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_L1088_); trivial. % 1.21/1.35 apply (zenon_L1082_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H12. zenon_intro zenon_H2da. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H237. zenon_intro zenon_H2db. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H239. zenon_intro zenon_H238. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_L1091_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1092_); trivial. % 1.21/1.35 apply (zenon_L1075_); trivial. % 1.21/1.35 apply (zenon_L1093_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_L1091_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1092_); trivial. % 1.21/1.35 apply (zenon_L1081_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H12. zenon_intro zenon_H2df. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H2b3. zenon_intro zenon_H2e0. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2b1. zenon_intro zenon_H2b2. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H112 | zenon_intro zenon_H2e1 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L1099_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1102_); trivial. % 1.21/1.35 apply (zenon_L1103_); trivial. % 1.21/1.35 apply (zenon_L1105_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L1099_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L345_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L520_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_L1094_); trivial. % 1.21/1.35 apply (zenon_L1106_); trivial. % 1.21/1.35 apply (zenon_L1107_); trivial. % 1.21/1.35 apply (zenon_L136_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L345_); trivial. % 1.21/1.35 apply (zenon_L1108_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L1018_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1102_); trivial. % 1.21/1.35 apply (zenon_L1110_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L1111_); trivial. % 1.21/1.35 apply (zenon_L1113_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L1018_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L345_); trivial. % 1.21/1.35 apply (zenon_L1110_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1114_); trivial. % 1.21/1.35 apply (zenon_L136_); trivial. % 1.21/1.35 apply (zenon_L1119_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H12. zenon_intro zenon_H2da. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H237. zenon_intro zenon_H2db. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H239. zenon_intro zenon_H238. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H29d | zenon_intro zenon_H379 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1021_); trivial. % 1.21/1.35 apply (zenon_L532_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L1020_); trivial. % 1.21/1.35 apply (zenon_L542_); trivial. % 1.21/1.35 apply (zenon_L532_); trivial. % 1.21/1.35 apply (zenon_L1121_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L1122_); trivial. % 1.21/1.35 apply (zenon_L1113_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1034_); trivial. % 1.21/1.35 apply (zenon_L581_); trivial. % 1.21/1.35 apply (zenon_L1123_); trivial. % 1.21/1.35 apply (zenon_L1124_); trivial. % 1.21/1.35 apply (zenon_L1125_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.35 apply (zenon_L1020_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.35 apply (zenon_L1038_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.35 apply (zenon_L249_); trivial. % 1.21/1.35 apply (zenon_L1047_); trivial. % 1.21/1.35 apply (zenon_L109_); trivial. % 1.21/1.35 apply (zenon_L590_); trivial. % 1.21/1.35 apply (zenon_L1040_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1102_); trivial. % 1.21/1.35 apply (zenon_L1127_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_L1130_); trivial. % 1.21/1.35 apply (zenon_L1135_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.35 apply (zenon_L1048_); trivial. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1038_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.36 apply (zenon_L200_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.21/1.36 apply (zenon_L1051_); trivial. % 1.21/1.36 apply (zenon_L598_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H105 | zenon_intro zenon_H116 ]. % 1.21/1.36 apply (zenon_L83_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H116). zenon_intro zenon_H12. zenon_intro zenon_H117. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H117). zenon_intro zenon_H10a. zenon_intro zenon_H118. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H118). zenon_intro zenon_H10b. zenon_intro zenon_H109. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H1 | zenon_intro zenon_H15c ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H1d | zenon_intro zenon_H35 ]. % 1.21/1.36 apply (zenon_L528_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H12. zenon_intro zenon_H37. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H29. zenon_intro zenon_H38. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H2a. zenon_intro zenon_H28. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc9 ]. % 1.21/1.36 apply (zenon_L1050_); trivial. % 1.21/1.36 apply (zenon_L1136_); trivial. % 1.21/1.36 apply (zenon_L197_); trivial. % 1.21/1.36 apply (zenon_L580_); trivial. % 1.21/1.36 apply (zenon_L594_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L345_); trivial. % 1.21/1.36 apply (zenon_L1127_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L1092_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1129_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.36 apply (zenon_L1134_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_H12. zenon_intro zenon_H176. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H16b. zenon_intro zenon_H177. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H177). zenon_intro zenon_H16c. zenon_intro zenon_H16a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H33 | zenon_intro zenon_H6d ]. % 1.21/1.36 apply (zenon_L1133_); trivial. % 1.21/1.36 apply (zenon_L586_); trivial. % 1.21/1.36 apply (zenon_L1135_); trivial. % 1.21/1.36 apply (zenon_L1143_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H2a1. zenon_intro zenon_H37b. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.36 apply (zenon_L1020_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L239_); trivial. % 1.21/1.36 apply (zenon_L621_); trivial. % 1.21/1.36 apply (zenon_L532_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.36 apply (zenon_L1020_); trivial. % 1.21/1.36 apply (zenon_L622_); trivial. % 1.21/1.36 apply (zenon_L532_); trivial. % 1.21/1.36 apply (zenon_L1121_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_L1122_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L1112_); trivial. % 1.21/1.36 apply (zenon_L1148_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.36 apply (zenon_L1020_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H66 | zenon_intro zenon_Hf4 ]. % 1.21/1.36 apply (zenon_L229_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_H12. zenon_intro zenon_Hf6. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_H74. zenon_intro zenon_Hf7. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_H75. zenon_intro zenon_H76. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H7d | zenon_intro zenon_He0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H3 | zenon_intro zenon_Hcf ]. % 1.21/1.36 apply (zenon_L36_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_H12. zenon_intro zenon_Hd0. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_H8d. zenon_intro zenon_Hd1. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H1f | zenon_intro zenon_H49 ]. % 1.21/1.36 apply (zenon_L236_); trivial. % 1.21/1.36 apply (zenon_L329_); trivial. % 1.21/1.36 apply (zenon_L106_); trivial. % 1.21/1.36 apply (zenon_L109_); trivial. % 1.21/1.36 apply (zenon_L113_); trivial. % 1.21/1.36 apply (zenon_L1056_); trivial. % 1.21/1.36 apply (zenon_L581_); trivial. % 1.21/1.36 apply (zenon_L1123_); trivial. % 1.21/1.36 apply (zenon_L1124_); trivial. % 1.21/1.36 apply (zenon_L1125_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.36 apply (zenon_L1039_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1038_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H12. zenon_intro zenon_H17d. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H124. zenon_intro zenon_H17e. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H125. zenon_intro zenon_H123. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.36 apply (zenon_L1070_); trivial. % 1.21/1.36 apply (zenon_L590_); trivial. % 1.21/1.36 apply (zenon_L1040_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L1102_); trivial. % 1.21/1.36 apply (zenon_L1149_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_L1130_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L1112_); trivial. % 1.21/1.36 apply (zenon_L1150_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L1071_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1038_); trivial. % 1.21/1.36 apply (zenon_L655_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L345_); trivial. % 1.21/1.36 apply (zenon_L1149_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L1128_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1129_); trivial. % 1.21/1.36 apply (zenon_L656_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19b. zenon_intro zenon_H1f2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19c. zenon_intro zenon_H19a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L345_); trivial. % 1.21/1.36 apply (zenon_L1150_); trivial. % 1.21/1.36 apply (zenon_L1143_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H12. zenon_intro zenon_H2e2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H287. zenon_intro zenon_H2e3. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H288. zenon_intro zenon_H286. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H29d | zenon_intro zenon_H379 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L1074_); trivial. % 1.21/1.36 apply (zenon_L1151_); trivial. % 1.21/1.36 apply (zenon_L1152_); trivial. % 1.21/1.36 apply (zenon_L1153_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_L1154_); trivial. % 1.21/1.36 apply (zenon_L1153_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L1078_); trivial. % 1.21/1.36 apply (zenon_L1151_); trivial. % 1.21/1.36 apply (zenon_L1152_); trivial. % 1.21/1.36 apply (zenon_L1153_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_L1154_); trivial. % 1.21/1.36 apply (zenon_L1155_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L1079_); trivial. % 1.21/1.36 apply (zenon_L676_); trivial. % 1.21/1.36 apply (zenon_L1153_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L1083_); trivial. % 1.21/1.36 apply (zenon_L676_); trivial. % 1.21/1.36 apply (zenon_L1155_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H12. zenon_intro zenon_H37a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H2a1. zenon_intro zenon_H37b. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H2a2. zenon_intro zenon_H2a3. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.36 apply (zenon_L1156_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_L686_); trivial. % 1.21/1.36 apply (zenon_L1153_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_L1159_); trivial. % 1.21/1.36 apply (zenon_L1153_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H12. zenon_intro zenon_H2da. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H237. zenon_intro zenon_H2db. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H239. zenon_intro zenon_H238. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_L1160_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H12. zenon_intro zenon_H1f5. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_H1a7. zenon_intro zenon_H1f6. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_L1076_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1072_); trivial. % 1.21/1.36 apply (zenon_L689_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H12. zenon_intro zenon_H37c. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H2bf. zenon_intro zenon_H37d. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H2c0. zenon_intro zenon_H2be. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H2dc ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H112 | zenon_intro zenon_H2e1 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1164_); trivial. % 1.21/1.36 apply (zenon_L136_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1166_); trivial. % 1.21/1.36 apply (zenon_L778_); trivial. % 1.21/1.36 apply (zenon_L168_); trivial. % 1.21/1.36 apply (zenon_L193_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.36 apply (zenon_L1162_); trivial. % 1.21/1.36 apply (zenon_L1167_); trivial. % 1.21/1.36 apply (zenon_L136_); trivial. % 1.21/1.36 apply (zenon_L1169_); trivial. % 1.21/1.36 apply (zenon_L168_); trivial. % 1.21/1.36 apply (zenon_L193_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.36 apply (zenon_L1170_); trivial. % 1.21/1.36 apply (zenon_L109_); trivial. % 1.21/1.36 apply (zenon_L136_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.36 apply (zenon_L1171_); trivial. % 1.21/1.36 apply (zenon_L1172_); trivial. % 1.21/1.36 apply (zenon_L821_); trivial. % 1.21/1.36 apply (zenon_L168_); trivial. % 1.21/1.36 apply (zenon_L193_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H85 | zenon_intro zenon_H135 ]. % 1.21/1.36 apply (zenon_L1173_); trivial. % 1.21/1.36 apply (zenon_L109_); trivial. % 1.21/1.36 apply (zenon_L1174_); trivial. % 1.21/1.36 apply (zenon_L136_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.36 apply (zenon_L1171_); trivial. % 1.21/1.36 apply (zenon_L1175_); trivial. % 1.21/1.36 apply (zenon_L126_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.36 apply (zenon_L1171_); trivial. % 1.21/1.36 apply (zenon_L1176_); trivial. % 1.21/1.36 apply (zenon_L136_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H165 | zenon_intro zenon_H175 ]. % 1.21/1.36 apply (zenon_L1171_); trivial. % 1.21/1.36 apply (zenon_L1177_); trivial. % 1.21/1.36 apply (zenon_L136_); trivial. % 1.21/1.36 apply (zenon_L168_); trivial. % 1.21/1.36 apply (zenon_L193_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1178_); trivial. % 1.21/1.36 apply (zenon_L136_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H12. zenon_intro zenon_H2da. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H237. zenon_intro zenon_H2db. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H239. zenon_intro zenon_H238. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.36 apply (zenon_L1187_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1188_); trivial. % 1.21/1.36 apply (zenon_L126_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1188_); trivial. % 1.21/1.36 apply (zenon_L803_); trivial. % 1.21/1.36 apply (zenon_L1189_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1190_); trivial. % 1.21/1.36 apply (zenon_L821_); trivial. % 1.21/1.36 apply (zenon_L193_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H12. zenon_intro zenon_H21a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H1d9. zenon_intro zenon_H21b. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H1da. zenon_intro zenon_H21c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.36 apply (zenon_L1193_); trivial. % 1.21/1.36 apply (zenon_L1194_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1195_); trivial. % 1.21/1.36 apply (zenon_L832_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.36 apply (zenon_L1197_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H12. zenon_intro zenon_H181. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H12e. zenon_intro zenon_H182. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H182). zenon_intro zenon_H12c. zenon_intro zenon_H12d. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1198_); trivial. % 1.21/1.36 apply (zenon_L845_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H12. zenon_intro zenon_H196. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H13c. zenon_intro zenon_H197. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H13a. zenon_intro zenon_H13b. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1196_); trivial. % 1.21/1.36 apply (zenon_L849_); trivial. % 1.21/1.36 apply (zenon_L1200_); trivial. % 1.21/1.36 apply (zenon_L193_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H161 | zenon_intro zenon_H283 ]. % 1.21/1.36 apply (zenon_L1205_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H12. zenon_intro zenon_H284. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H202. zenon_intro zenon_H285. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H271. zenon_intro zenon_H201. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H179 | zenon_intro zenon_H219 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.36 apply (zenon_L1201_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H12. zenon_intro zenon_H1fc. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_H187. zenon_intro zenon_H1fd. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1fd). zenon_intro zenon_H185. zenon_intro zenon_H186. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H31 | zenon_intro zenon_H195 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H5 | zenon_intro zenon_H180 ]. % 1.21/1.36 apply (zenon_L858_); trivial. % 1.21/1.36 apply (zenon_L1210_); trivial. % 1.21/1.36 apply (zenon_L864_); trivial. % 1.21/1.36 apply (zenon_L193_); trivial. % 1.21/1.36 apply (zenon_L1204_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H12. zenon_intro zenon_H2e2. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H287. zenon_intro zenon_H2e3. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H288. zenon_intro zenon_H286. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H45 | zenon_intro zenon_H2d8 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H27f ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_Hef | zenon_intro zenon_H1f0 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_Hb | zenon_intro zenon_H1fb ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1211_); trivial. % 1.21/1.36 apply (zenon_L889_); trivial. % 1.21/1.36 apply (zenon_L894_); trivial. % 1.21/1.36 apply (zenon_L168_); trivial. % 1.21/1.36 apply (zenon_L1212_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H12. zenon_intro zenon_H281. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H21e. zenon_intro zenon_H282. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H282). zenon_intro zenon_H21f. zenon_intro zenon_H21d. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H4e | zenon_intro zenon_H1f3 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hdc | zenon_intro zenon_H17b ]. % 1.21/1.36 apply (zenon_L1178_); trivial. % 1.21/1.36 apply (zenon_L889_); trivial. % 1.21/1.36 apply (zenon_L1213_); trivial. % 1.21/1.36 apply (zenon_L908_); trivial. % 1.21/1.36 apply (zenon_L995_); trivial. % 1.21/1.36 Qed. % 1.21/1.36 % SZS output end Proof % 1.21/1.36 (* END-PROOF *) % 1.21/1.36 nodes searched: 29495 % 1.21/1.36 max branch formulas: 512 % 1.21/1.36 proof nodes created: 6643 % 1.21/1.36 formulas created: 33875 % 1.21/1.36 %------------------------------------------------------------------------------